Area of Polygons

Area of Polygons

Use these formulas of the formula sheet given to you in your booklets.

What is Area

Area = Amount of space a two-dimensional object takes up.

You can find the area by counting the unit squares the shape takes up.

Multiple Choice

What is the area of this rectangle?

• 10

• 12

• 14

• 15

Why is the area 15?

The rectangle is covered by 15 squares.

You can also calculate the area using multiplication. There are 5 columns and 3 rows.

If we multiply those using the formula A=LxW we would get the same answer.

A = 5 x 3 = 15 units squared

Area of a Square

A = s²

Multiple Choice

If each square represents 1 in, what is the area of this square?

• $36\ in$

• $24\ in^2$

• $30\ in^2$

• $36\ in^2$

Multiple Choice

What is the area of this square?

• 1,521 cm²
• 2,511 cm²
• 1,251 cm²
• 2,151 cm²

Multiple Choice

What is the area of this square?

• $16m^2$

• $4m$

• There's only one side given??

• $8m^2$

Fill in the Blanks

Area of a Rectangle

Area = Length x Width

A = L x W

Multiple Choice

How do you find the area of a rectangle?

• Length + Length + Length + Length

• Length + Width

• Length x Width

• Width x Width

Multiple Choice

Find the area of the rectangle.

• 40 square cm

• 45 square cm

• 36 cm

• 36 square cm

Multiple Choice

What is the area of the rectangle?

• 42 square cm
• 40 square cm
• 40 cm
• 42 cm

Fill in the Blanks

Area of a Triangle

Area is half the base multiplied by height

 $A=\frac{1}{2}bh$  

Multiple Choice

How do you find the AREA of a TRIANGLE?

• Length x Width
• Base x Height divided by 2
• 1/3 (Length x width)
• Base x Height

Multiple Choice

• 17 units²
• 20 units²
• 10 units²
• 16 units²

Multiple Choice

• 108 cm

• 540 cm

• 108 cm²

• 54 cm²

Multiple Choice

• 44.4 mm²

• 5.92 mm²

• 8.88 mm²

• 17.76 mm²

Fill in the Blanks

Area of a Rhombus and Parallelogram

A rhombus is a parallelogram with same length on each side. To calculate depends on the information given.

Draw and write this in your notes.

Multiple Choice

Figure A is a...

• Rectangle

• Square

• Rhombus

Multiple Choice

What is the area?

• 30 m²

• 20 m²

• 24 m²

• 120 m²

Multiple Choice

What is the area of this parallelogram?

• 38 m²

• 56 m²

• 77 m²

• 88 m²

Multiple Choice

What is the area of this rhombus?
d1 = 12     d2= 4            $\frac{d1\cdot d2}{2}$  

• 48 cm²

• 24 cm²

• 16 cm²

• 32cm²

Multiple Choice

What is the area of this rhombus?

• 48 cm²
• 24 cm²
• 16 cm²
• 32cm²

Multiple Choice

What is the area of the rhombus?

• 11 cm²
• 30 cm²
• 22 cm²
• 15 cm²

Area of Kites

Area of a kite uses the same formula as a rhombus.

Multiple Choice

What is this shape?

• Trapezoid
• Kite
• Rhombus
• Isosceles Rectangle 

Multiple Choice

• 15 in²

• 90 in²

• 30 in²

• 45 in²

Multiple Choice

What is the area of this kite?

• 336 in ²

• 26 in ²

• 108 in²

• 672 in ²

Multiple Choice

What is the area of this kite?

• 336 in ²

• 26 in ²

• 108 in²

• 672 in ²

Area of Trapeziums

 $A=\frac{1}{2}\left(a+b\right)h$   

Area = half × Sum of parallel sides × Distance between them.

Multiple Choice

Find the area of the trapezium

• 400cm²

• 40cm²

• 250cm²

• 450cm²

Multiple Choice

Find the area of the trapezium

• 55cm²

• 143cm²

• 45cm²

• 110cm²

Multiple Choice

Find the area of the trapezium

• 114m²

• 120m²

• 228m²

• 108m²

Multiple Choice

Find the area of the trapezium

• 32cm²

• 24cm²

• 64cm²

• 36cm²

Multiple Choice

Find the area of the trapezium

• 40cm²

• 80cm²

• 60cm²

• 160cm²

Multiple Choice

area?

• 108 cm sq
• 60 cm
• 432 cm sq
• 216 cm sq