Name
LESSON
Date
Class
Practice C
10-6 Area of Irregular and Composite Figures
Estimate the area of each figure. Each square represents
1 square foot.
2.
1.
Find the area of each figure. Use 3.14 as an estimate for .
3.
4.
5.
4m
4m
6 ft
8 ft
4 ft
4.5 m
4m
4 ft
5 ft
3m
3m
6m
12 m
3m
4m
5 ft
12 m
16 m
6. The figure shows the dimensions of a
room in which wedding receptions
are held. The room is being carpeted.
The three semi-circular parts of the
room are congruent. How much
carpet is needed?
12 m
18 m
7. A polygon has vertices at F(–5, 2),
G(–3, 2), H(–3, 4), J(1, 4), K(1, 1),
L(4, 1), M(4, –2), N(6, –2), P(6, –3),
and Q(–5, –3). Graph the figure on
the coordinate plane. Then find the
area and the perimeter of the figure.
y
4
2
x
6
4
2
O
2
4
6
2
4
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47
Holt Mathematics
Practice A
LESSON
10-6 Area of Irregular and Composite Figures
Practice B
LESSON
10-6 Area of Irregular and Composite Figures
Estimate the area of each figure. Each square represents 1
square foot. Choose the letter for the best answer.
Estimate the area of each figure. Each square represents 1
square foot.
1.
1.
2.
C 14 ft
A 10 ft2
B 11 ft2
F 24 ft2
2
G 27 ft
D 15 ft2
H 32 ft2
J 36 ft2
2
21 ft2
4.
1 ft 3 ft
3.
5.
6m
4m
4.
5.
6 ft
4 ft
6 ft
6 ft
4 ft
24 ft2
Find the area of each figure. Use 3.14 as an estimate for .
Find the area of each figure. Use 3.14 as an estimate for .
3.
2.
12 m
3 ft
9 ft
9 ft
10 ft
4m
8m
6 ft
12 ft
8 ft
4m
4m
6m
5 ft
2
2
17 ft
6.
18 ft
30.28 m
6m
2m
15 ft
2
174 ft
6.
8.
6 ft
3m
208 m2
90 ft
2
7.
7.
140 ft2
8.
8 ft
16 m
6 ft
3m
8m
8m
16 ft
8 ft
4m
6 ft
3m
8m
16 m
10 ft
4 ft
6m
18 ft
2m
12 m
14 ft
84 m2
158.13 ft2
23.13 m2
288 m2
7m
100 ft2
33.28 m2
9. Marci is going to use tile to cover her
terrace. How much tile does she
need?
9. The figure shows the dimensions of a
room. How much carpet is needed to
cover the floor?
4m
57.12 m2
189.25 ft2
8m
15 ft
10 ft
45
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Practice C
LESSON
10-6 Area of Irregular and Composite Figures
When an irregular figure is on graph paper, you can
estimate its area by counting whole squares and
parts of squares. Follow these steps.
2.
• Count the number of whole squares.
There are 10 whole squares.
• Combine parts of squares to make
1
whole squares or 2-squares
Section 1 1 square
1
Section 2 1 2 squares
22 ft2
Holt Mathematics
Review for Mastery
LESSON
10-6 Area of Irregular and Composite Figures
Estimate the area of each figure. Each square represents
1 square foot.
1.
46
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
1
3
• Add the whole and partial squares.
1
1
10 1 1 2 1 2 14
The area is about 14 square units.
1
Section 3 1 2 squares
30 ft2
2
Find the area of each figure. Use 3.14 as an estimate for .
3.
4.
5.
4m
4m
8 ft
4 ft
4 ft
5 ft
Estimate the area of the figure.
4.5 m
4m
6 ft
3m
3m
1. There are
9
Section 2 1
1 2
1
2
Section 3 1
6m
12 m
3m
4m
5 ft
Section 1 12 m
16 m
104 ft2
223.4 m2
60.75 m2
A
12 m
258.39 m2
H
6
4
4
2
2
O
2
2
A = 52 units ; P = 36 units
Q
4
1 2
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All rights reserved.
1
2
square units
THINK:
6m
6m
6m
6m
9m
9m
3m
3m
9m
6m
3m
A (irregular figure) 54 9 63 m2
J
K
12
A (square) 3 3 9 m2
L
Find the area of the figure.
x
4
2. A (rectangle) 6
M N
A (triangle) P
32
6
A (irregular figure) 47
1
2
A (rectangle) 9 6 54 m2
y
F G
3
square(s)
square(s)
You can break a composite figure into shapes that
you know. Then use those shapes to find the area.
18 m
7. A polygon has vertices at F(–5, 2),
G(–3, 2), H(–3, 4), J(1, 4), K(1, 1),
L(4, 1), M(4, –2), N(6, –2), P(6, –3),
and Q(–5, –3). Graph the figure on
the coordinate plane. Then find the
area and the perimeter of the figure.
9
2
square(s)
1
6. The figure shows the dimensions of a
room in which wedding receptions
are held. The room is being carpeted.
The three semi-circular parts of the
room are congruent. How much
carpet is needed?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
1
whole squares in the figure.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
135
2 ft
ft2
2 ft
6 ft
ft2
32
38
4 ft
6
8 ft
ft2
48
Holt Mathematics
Holt Mathematics