Areas of Polygons

Area of Polygons

• ​What is Area?

• Why is area Measured in square units?

​Area of a Square

Fill in the Blank

A square garden has a side length of 5 ft.

What is the area of the garden?

____ ft²

Fill in the Blank

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?

____ in²

Draw

The sides of a square bedroom measure 3.5 yards.

If the carpet costs $16 per square yard, how much will it cost to cover the floor?

Draw

The standard size of a rectangular placemat is 14 inches by 16 inches.

How much fabric is needed to make 6 placemats?

Multiple Select

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

Find the area of a parallelogram.

A = bh

• 82 cm²

• 300 cm²

• 315 cm²

• 35 cm²

Draw

The area of a parallelogram is 31.5 ft² and the height is 6.3 ft.

What is the length of the base?

Area of a Triangle

Multiple Choice

Find the area of the triangle.

$$A\ =\ \frac{1}{2}bh$$

• 8.64 ft²

• 10.8 ft²

• 14.4 ft²

• 17.28 ft²

Draw

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?

Area of a Trapezoid

Draw

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?

Draw

Find the area of the trapezoid with the given information.