Find the Area of a Composite Figure by Adding

POOL The dimensions of an irregularly shaped pool are shown. What is the area of the surface of the pool?

The figure can be separated into a rectangle with dimensions 16 feet by 32 feet, a triangle with a base of 32 feet and a height of 15 feet, and two semicircles with radii of 8 feet.

Find the Area of a Composite Figure by Adding

Answer: The area of the composite figure is 953.1 square feet to the nearest tenth.

Area of composite figure

953.1

A. 478.5 ft2

B. 311.2 ft2

C. 351.2 ft2

D. 438.5 ft2

Find the area of the figure in square feet. Round to the nearest tenth if necessary.

Find the Area of a Composite Figure by Subtracting

Find the area of the shaded figure.

To find the area of the figure, subtract the area of the smaller rectangle from the area of the larger rectangle. The length of the larger rectangle is 25 + 100 + 25 or 150 feet. The width of the larger rectangle is 25 + 20 + 25 or 70 feet.

Find the Area of a Composite Figure by Subtracting

Answer: The area of the shaded figure is 8500 square feet.

Simplify.

Substitution

Simplify.

Area formulas

area of shaded figure

= area of larger rectangle – area of smaller rectangle

A. 168 ft2

B. 156 ft2

C. 204 ft2

D. 180 ft2

INTERIOR DESIGN Cara wants to wallpaper one wall of her family room. She has a fireplace in the center of the wall. Find the area of the wall around the fireplace.

• Homework:

pg. 812-814 #15-16, 18-19, 36

Exit Slip:

Create your own composite figure and solve for the area.

(use at least 3 shapes)

**Write down the order you went in for the scavenger hunt