Splash Screen. Then/Now You found the areas of parallelograms, triangles, and trapezoids. (Lesson 11–6) Find the area of composite figures. Solve problems.

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Presentation transcript:

Splash Screen

Then/Now 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.

Concept

Example 1 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.

Example 1 A.71.1 cm 2 B.58.6 cm 2 C.58.3 cm 2 D.52.3 cm 2 Find the area of the figure to the nearest tenth.

Example 2 Solve Multi-Step Problems CARPETING Carpeting costs $2 per square foot. How much will it cost to carpet the area shown? UnderstandYou know the dimensions of the figure. You need to find its area. PlanFirst, separate the figure into a rectangle and two trapezoids. Then find the sum of the areas of the figure.

Example 2 Solve Multi-Step Problems Step 1Find the area to be carpeted. Area of Rectangle A=bhArea of a rectangle A=(18)(20)Replace b with 18 and h with 20. A=360Simplify. Solve The area of the rectangle is 360 square feet.

Example 2 Solve Multi-Step Problems Area of Trapezoid Solve The area of both trapezoids is 70 2 or 140 square feet.

Example 2 Solve Multi-Step Problems Answer: So, it will cost $1,000 to carpet the area shown. Step 2Find the cost of the carpeting. 2(500) = 1000 The area to be carpeted is or 500 square feet.

Example 2 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?

Concept