You found the areas of parallelograms, triangles, and trapezoids. (Lesson 11–6)

• Find the area of composite figures.

• Solve problems involving the area of composite figures.

Find the Area of Composite Figures

Find the area of the composite figure. Round to the nearest tenth if necessary.

First, separate the figure into a rectangle and a triangle. Then find the sum of the areas of the figure.

A. 71.1 cm2

B. 58.6 cm2

C. 58.3 cm2

D. 52.3 cm2

Find the area of the figure to the nearest tenth.

Solve Multi-Step Problems

CARPETING Carpeting costs $2 per square foot. How much will it cost to carpet the area shown?

Understand You know the dimensions of the figure. You need to find its area.

Plan First, separate the figure into a rectangle and two trapezoids. Then find the sum of the areas of the figure.

Solve Multi-Step Problems

Step 1 Find the area to be carpeted.

Area of Rectangle

A = bh Area of a rectangle

A = (18)(20) Replace b with 18 and h with 20.

A = 360 Simplify.

Solve

The area of the rectangle is 360 square feet.

Solve Multi-Step Problems

Area of Trapezoid

Solve

The area of both trapezoids is 70 • 2 or 140 square feet.

Solve Multi-Step Problems

Answer: So, it will cost $1,000 to carpetthe area shown.

Step 2 Find the cost of the carpeting.

2(500) = 1000

The area to be carpeted is 360 + 140 or 500 square feet.

REMODELING The L-shaped counter shown is to be replaced with a new countertop that costs $52 per square foot. What will be the cost of the new countertop?