English
Spanish
Find the coordinates of the image after the transformation.
5
13. a translation of 3 units left and 4 units down
Q
4
14. a reflection in the y-axis
3
15. a rotation of 180° about the origin
1
R
2
O
16. a dilation with a scale factor of 3
5.6
y
Perimeters of Composite Figures
P
1
2
3
4
5 x
(pp. 234–239)
The figure is made up of a semicircle and a square. Find the perimeter.
Use 3.14 for 𝛑.
The distance around the square part is 6 + 6 + 6 = 18 meters. The distance around
the curved part is one-half the circumference of a circle with d = 6 meters.
πd
2
C
2
—=—
Divide the circumference by 2.
⋅
3.14 6
2
≈—
Substitute 3.14 for π and 6 for d.
= 9.42
Simplify.
6m
The perimeter of the figure is about 18 + 9.42 = 27.42 meters.
Find the perimeter of the figure.
17.
18.
19.
9 ft
5 in.
4 in.
5 in.
3 in.
9 ft
9 ft
13 cm
15 cm
9 ft
9 in.
10 cm
10 cm
30 ft
14 cm
20. 20 mm
20 mm
16 mm
21.
4 in.
6 in.
Chapter 5
Angles and Polygons
10 cm
8 cm
12 cm
6 in.
250
6 cm
22.
4 in.
English
Spanish
5.7
Areas of Composite Figures
(pp. 240–245)
Find the area of the figure.
13 mi
10 mi
26 mi
24 mi
The figure is made up of a rectangle, a triangle, and a semicircle.
Find the area of each figure.
Area of rectangle
Area of triangle
Area of semicircle
πr 2
2
1
2
A = ℓw
A = — bh
= (26)(10)
A=—
⋅
3.14 (13)2
2
1
2
= 260
= —(10)(24)
≈—
= 120
= 265.33
So, the area of the figure is about 260 + 120 + 265.33 = 645.33 square miles.
Find the area of the figure.
23.
24.
25.
2 in.
6 ft
2 in.
5 ft
3 in.
4 ft
5 ft
4 in.
2 in.
10 in.
5 in.
26. FLOORING Oak flooring costs $4 per square foot. Estimate how much it costs
to buy oak flooring for the room shown?
5 ft
3 ft
3 ft
8 ft
15 ft
Tim
e
6 ft
15 ft
Chapter Review
251