Composite figures

Multiple Choice

What is the area of the shaded region?

• 20 sq cm

• 4 sq cm

• 30 sq cm

• 24 sq cm

Multiple Choice

Find the area of this rectangle

• 180 cm²

• 160 cm²

• 1800 cm²

• 1600 cm²

Multiple Choice

What is the areas of this figure? 

• 54 cm²
• 45 cm²
• 63 cm²
• 36 cm²

Multiple Choice

What is the area of the shape in the picture.

• 3 square units

• 15 square units

• 15 units

• 16 units

Multiple Choice

What is the area of the composite figure?

• 80 cm²
• 16 cm²
• 96 cm²
• 32 cm²

Multiple Choice

How do you find the area of a rectangle?

• Length + width + Length +width

• Length + Width

• Length x Width

• Width x Width

Multiple Choice

Find the area of the rectangle.

• 140 cm²
• 70 cm²
• 34 cm²
• 64 cm²

Multiple Choice

Find the area of the rectangle.

• 36 in.²
• 72 in.²
• 26 in.²
• 13 in.²

Multiple Choice

Find the area of the rectangle.

• 21 ft²
• 180 ft²
• 42 ft²
• 90 ft²

Multiple Choice

Find the area.

• 6 cm²

• 36 cm²

• 42 cm²

• 48 cm²

Multiple Choice

Calculate the area. Use 3.14 for pi. Round to the nearest tenth if needed.

• 61.2325 cm ²

• 61.2 cm ²

• 195.9 cm ²

• 90.1 cm ²

Multiple Choice

Calculate the area.

• 336 cm ²

• 172 cm ²

• 459 cm ²

• 522 cm ²

Multiple Choice

Calculate the area. Use 3.14 for pi. Round to the nearest tenth if needed.

• 1582.8 cm ²

• 1476.4 cm ²

• 586.2 cm ²

• 602.5 cm ²

Multiple Choice

Calculate the area.

• 200 in. ²

• 400 in. ²

• 250 in. ²

• 300 in. ²

Multiple Choice

Calculate the area.

• 50 cm ²

• 43 cm ²

• 33 cm ²

• 40 cm ²

Multiple Choice

Calculate the area. Use 3.14 for pi. Round the nearest tenth if needed.

• 57.1 m ²

• 32 m ²

• 58 m ²

• 57.12 m ²

Multiple Choice

Calculate the area. Use 3.14 for pi. Round to the nearest tenth if needed.

• 124.3 m ²

• 258.4 m ²

• 435.1 m ²

• 302.5 m ²

Multiple Choice

Calculate the area. Use 3.14 for pi. Round to the nearest tenth if needed.

• 50.2 m ²

• 23.1 m ²

• 14.7 m ²

• 25.6 m ²

Multiple Choice

Calculate the area.

• 144 ft ²

• 152 ft ²

• 100 ft ²

• 140 ft ²

Multiple Choice

Calculate the area. Use 3.14 for pi. Round to the nearest tenth if needed.

• 245.6 m ²

• 223.4 m ²

• 242.2 m ²

• 345.9 m ²

Multiple Choice

True or False = A rectangle is composed of two dimensions, length and width.

• True

• False

Multiple Choice

True or False: To find the area of a rectangle you have to multiply the length and width.

• True

• False

Multiple Choice

What's the area of the rectangle?

• 18

• 77

• 38.5

Multiple Choice

True or False: You can find a missing side of a composite figure by relating it to the measurement of the known sides.

Example: If I know the red line is 5 feet long, I can figure out Y

• True

• False

Multiple Choice

What is the length of y?

• 2

• 7

• 3

• 4

Multiple Choice

What is the width of x?

• 2

• 3

• 6

• 7

• 9

Multiple Choice

True or False: To find the area of the entire shape, you can simply split the shape into two rectangles, find their areas, then add them together.

• True

• False

Multiple Choice

What is the area of the figure?

• 15

• 18

• 21

• 30

Multiple Choice

What is the area of the rectangle?

• 3

• 7

• 10

• 14

Fill in the Blank

What is the area of the composite shape?

Multiple Choice

True or False = A rectangle is composed of two dimensions, length and width.

• True

• False

Multiple Choice

True or False: To find the area of a rectangle you have to multiply the length and width.

• True

• False

Multiple Choice

What's the area of the rectangle?

• 18

• 77

• 38.5

Multiple Choice

True or False: You can find a missing side of a composite figure by relating it to the measurement of the known sides.

Example: If I know the red line is 5 feet long, I can figure out Y

• True

• False

Multiple Choice

What is the length of y?

• 2

• 7

• 3

• 4

Multiple Choice

What is the width of x?

• 2

• 3

• 6

• 7

• 9

Multiple Choice

True or False: To find the area of the entire shape, you can simply split the shape into two rectangles, find their areas, then add them together.

• True

• False

Multiple Choice

What is the area of the figure?

• 15

• 18

• 21

• 30

Multiple Choice

What is the area of the rectangle?

• 3

• 7

• 10

• 14

Fill in the Blank

What is the area of the composite shape?

Multiple Choice

What is the area of the figure?

• $$12.8\ m^2$$

• $$6.4\ m^2$$

• $$7.7\ m^2$$

• $$13.6\ m^2$$

Match

Match the following

• 60 square mm

• 44 square mm

• 104 square mm

• a figure composed of two or more two-dimensional figures

• the number of square units a figure covers

Area of parallelogram

Area of trapezoid

Area of composite figure

composite figure

area

• Area of parallelogram

• Area of trapezoid

• Area of composite figure

• composite figure

• area

Multiple Choice

Which is the best estimate of the area of the figure?

• $$12,717\ ft^2$$

• $$8,100\ ft^2$$

• $$27,176\ ft^2$$

• $$19,074\ ft^2$$

Multiple Choice

Select the best estimate of the area of the figure?

• $$150\ in^2$$

• $$14\ in^2$$

• $$36\ in^2$$

• $$50\ in^2$$

Multiple Choice

What is the area of the figure?

• $$275\ cm^2$$

• $$75\ cm^2$$

• $$125\ cm^2$$

• $$200\ cm^2$$

Drag and Drop

What is the area of the figure?​

Placeholder

Drag these tiles and drop them in the correct blank above

Fill in the Blank

A design that is painted on a wall is composed of a square and two right triangles. Each side of the square and the height of each triangle measures 4.5 inches. The base of each triangle measures 6 inches. What is the total area of the painted design?

Fill in the Blank

A backyard is composed of a trapezoid and a rectangle. The height of the rectangle is 12 feet. The base of the rectangle and one base of the trapezoid each measure 30 feet. The height of the trapezoid is 15 feet and its second base measures 10 feet. What is the area of the backyard?

Multiple Choice

What is the area of the unshaded region?

• $$117\ cm^2$$

• $$33.5\ cm^2$$

• $$58.5\ cm^2$$

• $$25\ cm^2$$

Dropdown

What is the area of the unshaded region?​

Select answer

Multiple Choice

What is the area of the shaded region?

• 20 sq cm
• 4 sq cm
• 30 sq cm
• 24 sq cm

Multiple Choice

What is the area of the composite figure?

• 40 sq cm
• 65 sq cm
• 52.5 sq cm
• 25 sq cm

Multiple Choice

What is the area of the composite figure?

• 80 cm²
• 16 cm²
• 96 cm²
• 32 cm²

Multiple Choice

What is the area of the composite figure?

• 144 m²
• 111 m²
• 45 m²
• 70 m²

Multiple Choice

What is the area of the shaded region?

• 14 m²
• 120 m²
• 106 m²
• 134 m²

Multiple Choice

Find the area of the composite figure

• 40
• 9
• 49
• 61

Multiple Choice

 What is the area of the figure?

• 48 ft2
• 216 ft2
• 65 ft2
• 128 ft2

Multiple Choice

A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once? What is the circumference of this tire? Use 3 for  $\pi$  

• 81

• 27

• 15.5

• 13

Multiple Choice

A circular race track has a diameter of 1/2 mile.

How far does a car travel in one lap around the

track?

• 1.57 miles

• 1 mile

• 15.7 miles

• .25 miles

Multiple Choice

What is the area (to the nearest hundredth) of the figure shown below? (Both rounded regions are semi-circles.)

• 16.56 in squared

• 7.14 in squared

• 4 in squared

• 12 in squared

Multiple Choice

Find the area of the composite figure, to the nearest hundredth.

• 36 in squared

• 4.42 in squared

• 24.24 in squared

• 13.42 in squared

Multiple Choice

Find the area of the circle.

• 18.84 in squared

• 28.26 in squared

• 113.04 in squared

• Not given

Multiple Choice

A button has a diameter of  20 millimeters. What is the area of the button? Use  3.14 as an approximation of  $\pi$ . 

• 62.8 mm squared

• 400 mm squared

• 314 mm squared

• 1256 mm squared

Multiple Choice

Find the radius of the circle.

• 9

• 18

• 36

• 56.52

Composite Figures

Composite figures are figures that are made from more than one shape being combined. The heart that you see is actually made from a square and two semi-circles.

To calculate composite figures' area, you need to be able to find the area of simple shapes first.

LET'S PRACTICE!

For rectangles, you multiply the length x width.

You may also hear that area of a rectangle is calculated using the formula Area= base x height.

Multiple Choice

4. What is the area of the rectangle?

• 30 mm²

• 36 mm²

• 45 mm²

• 56 mm²

Multiple Choice

5. What is the area of the rectangle?

• 8 ft²

• 9 ft²

• 10 ft²

• 12 ft²

Area of a square is similar to area of a rectangle. You multiply length x width.

To find area of this square, I'd multiply 5 x 5

Multiple Choice

7. Find the area of this square.

• 25 cm

• 20 cm²

• 25 cm²

• 55 cm

Multiple Choice

8. What is the formula for the area of a rectangle?

• Length x Width

• Length x Length

• Width x Width

Multiple Choice

9. What is the formula for the area of a square?

• Length x Width

• Length x Length

• Width x Width

For area of a triangle, you multiply base x height. Then, divide your answer by 2.

​

These triangles look different, but the height is determined by the perpendicular line that makes a right angle.

​

The triangle has a base of 6 and a height of 7.

To solve, first multiply base x height.

7 x 6 = 42 Then, divide by 2. 42/2 = 21 Area = 21 cm^2

Multiple Choice

12. How do you find the area of a triangle?

• base x height

• take half of the base times the height

• add up all of the sides

Multiple Choice

13. Find the area of this triangle.

• 20 cm²

• 35 cm²

• 40 cm²

• 17.5 cm²

Multiple Choice

14. What is the area of a triangle with a base of 10 cm and a height of 14 cm?

• 24 cm squared

• 12 cm squared

• 70 cm squared

• 140 cm squared

Area of a trapezoid is found when you add base 1 and base 2, then divide by 2. After that, multiply times the height.

Example

• The bases are 9 and 16

• 9 + 16 = 25

• 25 / 2 = 12.5

• Take this answer x height

• 12.5 x 5 = 62.5 units squared

Multiple Choice

Find the area of this trapezoid

• 49 units squared

• 238 units squared

• 85 units squared

Parallelograms

Area equals the base times the height.

Multiple Choice

Find the area of this parallelogram.

• 50 inches

• 50 inches squared

• 60 inches squared

• 21 inches squared

What would be the formula for a semicircle??

Composite Area is the area of the combined shapes. To find composite area, you must:

1) Break the figure into smaller shapes.

2) Write the formula for area of each shape.

3) Calculate the area of each shape

4) Add all of the areas

Open Ended

What kind of shapes make up this composite shape?

Multiple Choice

16. What is the area of the composite figure?

• 48 cm²

• 90 cm²

• 78 cm²

• 12 cm²

Multiple Choice

18. The arrow shown is on a sign. What is the area of the arrow?

• 17 in²

• 40 in²

• 52 in²

• 61 in²

Multiple Choice

17. What is the area of the shaded region?

• 14 m²

• 120 m²

• 106 m²

• 134 m²

Multiple Choice

What is the area of this composite shape?

• 14 in²
• 68 in²
• 36 in²
• 24 in²

Multiple Choice

What is the perimeter of this shape?

• 26

• 42

• 16

• 25

Multiple Choice

What is the perimeter of this semi circle? (Use 3.14 = π and round to the nearest tenths place)

• 18.5
• 11.3
• 20.3
• 22.6

Multiple Choice

Jane is planting a rectangular rose garden. In the centre of the garden, she puts a smaller rectangular patch of grass. The grass is 2 feet by 3 feet. What is the area of the rose garden?

• 82 ft²

• 6 ft²

• 88 ft²

• 94 ft²

Multiple Choice

What is the area of the shaded region?

• 14 m²
• 120 m²
• 106 m²
• 134 m²

Multiple Choice

What is the base and the height of the triangle in this composite shape?

• base: 8cm
  height: 5 cm
• base: 5 cm
  height: 8 cm
• base: 5 cm
  height: 5 cm
• base: 1 cm
  height: 2 cm

Composite Figures

Finding Areas of Weird Shapes

First, let's see what you remember!

Make sure you have

your STAAR Chart ready!

Multiple Choice

What is the area of the rectangle?

• 30 mm²
• 36 mm²
• 45 mm²
• 56 mm²

Multiple Choice

Find the area of the triangle.

• 20 in

• 40 cm²

• 13 cm²

• 20 cm²

Multiple Choice

what is the area of this semicircle ?
d = 8 cm 

• 100.48 cm²
• 80 cm²
• 200.96 cm²
• 25.12 cm²

But what if there's more than one shape?

Multiple Choice

Find the area of the figure shown.

• 34 units²
• 960 units²
• 220 units²
• 480 units²

Multiple Choice

What is the area of this figure?

• 60 square inches
• 78 square inches
• 68 square inches
• 76 square inches

Multiple Choice

Mason needs to purchase new glass for the window pictured here. How many square feet of glass will he need?

• 12.6 ft²

• 11.4 ft²

• 25.9 ft²

• 19.5 ft²

Multiple Choice

To promote recycling, the ground of the neighborhood sandbox is being covered with shredded tires . The sandbox will not be covered.
What is the area of the shredded tire portion of the playground?

• 3600 feet²
• 450 feet²
• 1342 feet²
• 3150 feet²

Multiple Choice

What is the area of the shaded region?

• 625
• 134.375
• 490.87
• 228.4

Multiple Choice

What is the area of the shaded region? Write your answer as a whole number or a decimal rounded to the nearest hundredth.

• 77 square inches
• 83 square inches
• 160 square inches
• 55 square inches

Multiple Choice

Determine the area of the shaded region. 

• 36m²
• 26m²
• 28m²
• 32m²

Multiple Choice

Determine the area of the composite figure.

• 52.8m²
• 53.8m²
• 50.8m²
• 51.8m²

Multiple Choice

Determine the area of the shaded region. 

• 42.24 m²
• 26.42 m²
• 40.42 m²
• 41.42 m²

Multiple Choice

The floor plan of Katrisa's bedroom is shown below.  If Katrisa wants to carpet her bedroom, about how much carpet should she purchase?

• 778.5 square feet
• 887.8 square feet
• 798.4 square feet 
• 787.7 square feet

Multiple Choice

Braylon needs to purchase new glass for the window pictured below.  About how many square feet of glass will he need to purchase?(the lengths are for the entire side, not just one window pane.) Use 3 for pi. 

• about 19.2ft ²
• about 23ft²
• about 21.5ft²
• about 6ft²

Multiple Choice

A carpenter planned to change a round tabletop into a square tabletop.  He wanted to attach the square piece to the original round tabletop as shown below.  How could he determine the area of the square piece?

• Square the diameter of the circle.
• Square the radius of the circle.
• Square the radius of the circle and multiply by pi.
• Multiply the diameter of the circle by 4.

Multiple Choice

At a restaurant, a waiter pushed 4 identical square tables together as shown in the diagram below.  The width of each table is 5 feet.  Which of the following methods could the waiter use to determine the total serving area created by the 4 square tables?

• Multiply 5 by 5, then multiply the product by 5.
• Multiply 5 by 5, then multiply the product by 4.
• Add 4 plus 4, then multiply the sum by 5.
• Multiply 4 by 5, then add 4 to the product.

Multiple Choice

A local restaurant places tissue-paper liners in baskets for yeast rolls like the liner pictured below.  About how many square centimeters of tissue paper are needed to make one liner?

• 200.96 cm²
• 379.2 cm²
• 251.2 cm²   
• 253.6 cm²

Multiple Choice

The figure shows 2 circles inside a trapezoid.  Which procedure should be used to find the area of the shaded region?

• Subtract the perimeter of the trapezoid from the area of both circles.
• Subtract the circumference of both circles from the area of the trapezoid.
• Subtract the area of the trapezoid from the area of both circles.
• Subtract the area of both circles from the area of the trapezoid.

Multiple Choice

Which of the following is closest to the area of the figure shown?(use 3)

• 420 cm²
• 512 cm²
• 320 cm²
• 1,124 cm²

Multiple Choice

Which of the following equations could NOT be used to find the area of the composite figure shown?

• 1/2(4)(9)+9(9)
• 9(9)+.5(9)(4)
• .5(4)(9)+13(9)
• 13(9) - 4(2)