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Warm Up

Problem of the Day

Lesson Presentation

Lesson Quizzes

Warm Up Find each area. Round to the nearest

tenth, if necessary. 1. a rectangle with length

10 cm and width 4 cm 2. a parallelogram with

base 18 ft and height 12 ft 3. a triangle with

base 16 cm and height 8 cm 4. a circle with

radius 5 in.

40 cm2

216 ft2

64 cm2

78.5 in2

Problem of the Day Four squares are placed in a

row, adjacent to one another. The square on the

far left is 12 inches on a side. The perimeter of

each of the other squares is half of the one to

its left. What is the perimeter of the combined

figure?

69 in.

Additional Example 1A Finding the Area of

Composite Figures by Adding Find the shaded area.

Round to the nearest tenth, if necessary.

Additional Example 1 Continued Find the shaded

area. Round to the nearest tenth, if necessary.

2 m

8 m

2 m

4 m

6 m

6 m

Check It Out Example 1 Find the shaded area.

Round to the nearest tenth, if necessary.

Check It Out Example 1 Continued Find the shaded

area. Round to the nearest tenth, if necessary.

Additional Example 2 Finding the Area of

Composite Figures by Subtracting

5 ft

Find the shaded area.

6 ft

9 ft

Subtract the area of the triangle

from the area of the rectangle.

12 ft

Check It Out Example 2

9 in.

Find the shaded area.

5 in.

8 in.

16 in.

area of rectangle A lw 16 8 128 area of

triangle A bh (5 7) (35)

17.5 area of shaded area A 128 - 17.5 110.5

in

1

_

1

1

2

2

2

2

Additional Example 3 Landscaping Application

6 ft

What is the area of the room floor shown in the

figure? Round to the nearest tenth.

12 ft

12 ft

6 ft

18 ft

To find the area, divide the composite figure

into a square, a rectangle, and a semicircle.

Additional Example 3 Continued

6 ft

12 ft

12 ft

6 ft

18 ft

Additional Example 3 Continued

6 ft

What is the area of the room floor shown in the

figure? Round to the nearest tenth.

12 ft

12 ft

6 ft

18 ft

Check It Out Example 3

What is the area of the stage floor shown in the

figure? Round to the nearest tenth.

Check It Out Example 3 Continued

area of top rectangle A lw 5 5 25 area

of large rectangle A lw 15 5 75 area of

semicircle A ? r (3.14 7.5 )

(176.6) 88.3 total area A 25 75 88.3

188.3 ft

2

2

2

Lesson Quizzes

Standard Lesson Quiz

Lesson Quiz for Student Response Systems

Lesson Quiz Part l

Find the shaded area of each figure. Round to the

nearest tenth, if necessary. 1. 2.

3.

5 ft

Lesson Quiz Part ll

4. The figure gives the dimensions of a backdrop

for a school play. Find the area of the

backdrop.

Lesson Quiz for Student Response Systems

1. Find the shaded area of each figure. Round to

the nearest tenth, if necessary. A. 40 ft2

B. 54.1 ft2 C. 14 ft2 D. 68.3 ft2