AnswersMathematics IIIArea of Composite Figures

Area of Composite Figures — Quiz Answers

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1
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What is the area of the composite figure?

A
10 pi plus 10 times square meter
B
16 pi plus 10 times square meter
C
6 pi plus 10 times square meter
D
12 pi plus 10 times square meter
2
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What is the area of the composite figure?

A
130 square centimeter
B
105 square centimeter
C
70 square centimeter
D
100 square centimeter
3

What is the area of the shaded portion of the circle?

A
64 pi minus 32 times square inch
B
64 pi minus 8 times square inch
C
16 pi minus 32 times square inch
D
16 pi minus 8 times square inch
4

The figure shows two rectangles. Which expression represents the area of the shaded region?

A
54 x squared
B
16 x squared
C
88 x squared
D
34 x squared
5

Recall that in a 45 degrees - 45° - 90 degrees triangle, if the legs each measure x units, then the hypotenuse measures x square root of 2 units.

A
72 pi minus 144 times square millimeter
B
72 pi minus 72 times square millimeter
C
288 pi minus 144 times square millimeter
D
288 pi minus 288 close square millimeter
6

What is the area of the composite figure?

A
12 pi plus 16 square centimeter
B
12 pi plus 4 times square centimeter
C
6 pi plus 16 times square centimeter
D
6 pi plus 4 times square centimeter
7

How can you decompose the composite figure to determine its area?

A
as a semicircle, a trapezoid, and two rectangles
B
as a semicircle, three rectangles, and a square
C
as a circle, three rectangles, and a triangle
D
as a circle, a trapezoid, and four triangles
8

Which represents the area of the shaded region?

A
area of the triangle plus area of the square plus area of the circle
B
area of the triangle negative area of the square plus area of the circle
C
area of the circle negative area of the triangle plus area of the square
D
area of the circle negative area of the square negative area of the triangle
9

How can you decompose the composite figure to determine its area?

A
as a regular hexagon, a rectangle, and two squares
B
as two triangles, two rectangles, and two semicircles
C
as a trapezoid, a rectangle, and two squares
D
as a trapezoid, a rectangle, and two semicircles
10

How can you decompose the composite figure to determine its area?

A
as two rectangles and four circles
B
as two triangles and four circles
C
as a square and four semicircles
D
as a pentagon and four semicircles
11

Which represents the area of the shaded region?

A
area of the circle negative area of the triangle plus area of the square
B
area of the circle negative area of the square negative area of the triangle
C
area of the triangle negative area of the square plus area of the circle
D
area of the triangle plus area of the square plus area of the circle
12

What is the area of the composite figure?

A
12 pi plus 4 times square centimeter
B
12 pi plus 16 square centimeter
C
6 pi plus 4 times square centimeter
D
6 pi plus 16 times square centimeter
13

How can you decompose the composite figure to determine its area?

A
as a circle, a trapezoid, and four triangles
B
as a semicircle, a trapezoid, and two rectangles
C
as a circle, three rectangles, and a triangle
D
as a semicircle, three rectangles, and a square
14

What is the area of the composite figure?

A
6 pi plus 10 times square meter
B
10 pi plus 10 times square meter
C
16 pi plus 10 times square meter
D
12 pi plus 10 times square meter
15

The figure shows two rectangles. Which expression represents the area of the shaded region?

A
16 x squared
B
88 x squared
C
54 x squared
D
34 x squared
16

What is the area of the composite figure?

A
70 square centimeter
B
100 square centimeter
C
130 square centimeter
D
105 square centimeter
17

Recall that in a 45 degrees - 45° - 90 degrees triangle, if the legs each measure x units, then the hypotenuse measures x square root of 2 units.

A
72 pi minus 144 times square millimeter
B
72 pi minus 72 times square millimeter
C
288 pi minus 288 close square millimeter
D
288 pi minus 144 times square millimeter
18

What is the area of the shaded portion of the circle?

A
64 pi minus 32 times square inch
B
16 pi minus 32 times square inch
C
16 pi minus 8 times square inch
D
64 pi minus 8 times square inch
19

How can you decompose the composite figure to determine its area?

A
as a pentagon and four semicircles
B
as a square and four semicircles
C
as two triangles and four circles
D
as two rectangles and four circles
20

How can you decompose the composite figure to determine its area?

A
as a trapezoid, a rectangle, and two squares
B
as a trapezoid, a rectangle, and two semicircles
C
as a regular hexagon, a rectangle, and two squares
D
as two triangles, two rectangles, and two semicircles

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