Area of Polygons

Area of Polygons

What is Area?

Why is area Measured in square units?

Open Ended

Assignment Question

The length and width of are measured in linear units: inches, miles, meters, etc.

The area is measured in square units. Why?

Multiple Choice

Quiz Question - Find area of a square

A square garden has a side length of 5 ft. What is the area of the garden?

• 5 ft²

• 10 ft²

• 20 ft²

• 25 ft²

Multiple Choice

Quiz Question - Find area of a rectangle

A protective cover for a wireless tablet has a height of 8 inches and a base of 7 inches. What is the area of the cover?

• 28 in²

• 30 in²

• 56 in²

• 60 in²

Multiple Choice

Quiz Question - Find and use area to make decisions.

The sides of a square bedroom measure 3.5 yards. If the carpet costs $16 per square yard, how much will it costs to cover the floor?

• $56

• $98

• $196

• $224

Multiple Choice

Quiz Question - Find and use area to make decisions.

The standard size of a rectangular placemat is 14 inches by 16 inches. How much fabric is needed to make 6 placemats?

• 90 in²

• 224 in²

• 672 in²

• 1344 in²

Multiple Select

Assignment Question - Use area to find dimensions

A rectangular sandbox cover will be built to protect an area of 72 square meters. Which are possible dimensions of the cover?

Check all that apply.

• 2 m by 36 m

• 8 m by 9 m

• 8.5 m by 8.5 m

• 4 m by 18 m

• 6 m by 12 m

Area of parallelogram

Multiple Choice

Quiz Question - Find the area of a parallelogram

• 82 cm²

• 300 cm²

• 315 cm²

• 35 cm²

Multiple Choice

Assignment Question - Use area to find length

The area of a parallelogram is 31.5 ft² and the height is 6.3 ft. What is the length of the base?

• 36 ft

• 24 ft

• 10 ft

• 5 ft

Area of a triangle

Multiple Choice

Quiz Question - Find the area of a triangle.

• 8.64 ft²

• 10.8 ft²

• 14.4 ft²

• 17.28 ft²

Multiple Choice

Assignment Question - Use the Area to find the height

The kids in the neighborhood often play a variation of the game hopscotch. In one section of the park, there are triangles and rectangles painted on the ground.

What is the height, h, of one blue triangle if the area of the triangle is 90 square inches?

• 5 in

• 10 in

• 20 in

• 72 in

Open Ended

Assignment Question - Formulas

The formulas for area of a triangle and area of a parallelogram are similar.

Describe how to calculate the area of each shape and how the area of a triangle is related to that of a parallelogram.

Area of a trapezoid

Multiple Choice

Quiz Question - Find the area of a trapezoid

A trapezoid has bases that measure 10 cm and 6 cm. The height of the figure is 15 cm. What is the area of the trapezoid?

• 60 cm²

• 90 cm²

• 120 cm²

• 150 cm²

Multiple Choice

Quiz Question - Find the area of a trapezoid

A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the trapezoid?

• 28 cm²

• 36 cm²

• 45 cm²

• 90 cm²

Multiple Select

Assignment/Quiz Question - Formulas

Which statements about the formulas for finding areas are true?

Check all that apply.

• The triangle and trapezoid area formulas have $$\frac{1}{2}$$ in them.

• The parallelogram and rectangle formulas are both the same.

• In the trapezoid formula, the bases are added.

• A rectangle and parallelogram with the same base and height will have the same area.

• The base of the triangle is always the shortest side.