AnswersIntegrated Math II FullArea of Composite Figures

Area of Composite Figures — Unit test Answers

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1
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A circular rug has a radius of 4.5 feet. What is the circumference of the rug? Use 3.14 for and round to the hundredths place.

Question illustration
A
14.13
B
28.26
C
44.37
D
88.74
2
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Kayley needs to find the area of a circle. Which process should she use?

A
She should multiply the diameter by 2 and then multiply the result by 3.14.
B
She should multiply the radius by 2 and then multiply the result by 3.14.
C
She should square the diameter and then multiply the result by 3.14.
D
She should square the radius and then multiply the result by 3.14.
3

Kasia wants to create a triangle with angles measuring , , and . She says that only one unique triangle is possible given these angle measures. Which statement about Kasia’s claim is true?

Question illustration
A
Kasia is incorrect. Since the angles sum to and no side lengths are given, multiple triangles can be drawn with these angle measures.
Option A
B
Kasia is incorrect. No triangle can be made with these angle measures because they do not sum to .
Option B
C
Kasia is correct. Since the angles sum to and no measurements are given, only one unique triangle is possible.
Option C
D
Kasia is correct. Since the angles do not sum to , only one unique triangle is possible.
Option D
4

Roderick wants to draw a circle for which the numerical value of the circumference is greater than the value of the area. Which lengths could he use for the radius? Select three options.

A
One-half
Option A
B
1
C
1.5
D
2
E
2 and one-half
Option E
5

A rectangular garden has an area of 144 ft². If the base is 8 ft long, what is the height?

A
18 ft
B
36 ft
C
64 ft
D
72 ft
6

Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

A
Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.
B
Yes, because the area will just be twice the circumference so all he has to do is multiply by 2.
C
No, because the circumference equals and there is no in 125.6.
Option C
D
No, because the circumference equals so he could only find the diameter. He needs the radius for the area formula.
Option D
7

What is the area of this composite figure, in square centimeters?

Question illustration
A
176
B
209
C
242
D
264
8

What is the area of the rectangle, in square feet?

Question illustration
A
29
B
58
C
120
D
180
9

Kaleem wanted to draw a triangle where the sides measured 5 cm, 8 cm, and 7 cm. How many unique triangles could Khaleem draw that fit these dimensions?

A
1
B
2
C
3
D
4
10

Line l and line m are straight lines. Which statements are true regarding the angles in the figure? Select two options.

Question illustration
A
Measure of angle a = measure of angle b
Option A
B
Measure of angle a = measure of angle c
Option B
C
Measure of angle a + measure of angle b = measure of angle c
Option C
D
Measure of angle a + measure of angle b = 90 degrees
Option D
E
Measure of angle a + measure of angle b + measure of angle c = 124 degrees
Option E
11

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diameter one-half that of the large circle. Which statements about the areas are true? Select three options.

A
The area of the large circle is .
Option A
B
The area of one small circle is .
Option B
C
The area of one small circle will be one-half of the area of the large circle.
D
The total area of the two small circles will equal that of the large circle.
E
The total area of the two small circles will be one-half of the area of the large circle.
12

The floor of Aisha’s rectangular bedroom has an area of . Which are possible dimensions of her bedroom? Select three options.

Question illustration
A
14.4 ft by 10 ft
B
6 ft by 12 ft
C
8 ft by 9 ft
D
8 ft by 18 ft
E
9 ft by 16 ft
13

Ava wants to paint two walls in her room blue. Both walls are 9-feet tall and 12-feet long. One wall has a 3-foot by 2-foot window and the other wall has a 3-foot by 7-foot door. What is the combined area of the two walls Ava wants to paint?

A
189 feet squared
Option A
B
210 feet squared
Option B
C
216 feet squared
Option C
D
243 feet squared
Option D
14

What is the area of the rectangle, in square feet?

Question illustration
A
29
B
58
C
120
D
180
15

Yu-Xi draws a triangle with two angles measuring and . What is the measure, in degrees, of the third angle?

Question illustration
A
78
B
79
C
101
D
102
16

A rectangular garden has an area of 144 ft². If the base is 8 ft long, what is the height?

A
18 ft
B
36 ft
C
64 ft
D
72 ft
17

What is the circumference of this circle, in millimeters? Use for .

Question illustration
A
154
B
308
C
484
D
968
18

A circular pool with a 10-foot diameter is surrounded by a deck.What is the area of the deck that surrounds the pool? Use 3.14 for .

Question illustration
A
146.5
B
193.6
C
225.0
D
303.5
19

Which statement is true about two angles that are complementary?

A
The angles share a common ray.
B
The sum of the measures of the two angles is 90°.
C
The angles are opposite each other.
D
The sum of the measures of the two angles is 180°.
20

Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

A
Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.
B
Yes, because the area will just be twice the circumference so all he has to do is multiply by 2.
C
No, because the circumference equals and there is no in 125.6.
Option C
D
No, because the circumference equals so he could only find the diameter. He needs the radius for the area formula.
Option D

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