AnswersECASD - Geometry A - CRArea of Composite Figures

Area of Composite Figures Answers

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A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

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A
70 cm2
B
100 cm2
C
105 cm2
D
130 cm2
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A
as two triangles, two rectangles, and two semicircles
B
as a trapezoid, a rectangle, and two semicircles
C
as a regular hexagon, a rectangle, and two squares
D
as a trapezoid, a rectangle, and two squares
3

A smaller triangle is cut out of a larger triangle. The larger triangle is a right triangle with side lengths of 5 millimeters and 12 millimeters. The smaller triangle has side lengths of 4 millimeters and 3 millimeters.

Question illustration
A
21 mm2
B
24 mm2
C
42 mm2
D
48 mm2
4

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.

Question illustration
A
as a circle, three rectangles, and a triangle
B
as a circle, a trapezoid, and four triangles
C
as a semicircle, three rectangles, and a square
D
as a semicircle, a trapezoid, and two rectangles
5

A smaller rectangle is inside of a larger rectangle. The smaller rectangle has sides lengths of 9 x and 6 x. The distance to the larger rectangle on all sides is x. The space between the smaller rectangle and the larger rectangle is shaded.

Question illustration
A
16x2
B
34x2
C
54x2
D
88x2
6

Four circles, each with a radius of 2 inches, are removed from a square.

Question illustration
A
(16 – 4π) in.2
B
(16 – π) in.2
C
(64 – 16π) in.2
D
(64 – 4π) in.2
7

A composite figure is comprised of a square and 4 semicircles.

Question illustration
A
as a pentagon and four semicircles
B
as two rectangles and four circles
C
as a square and four semicircles
D
as two triangles and four circles
8

3 semicircles are connected to 3 sides of a square. Each side of the square measures 4 centimeters.

Question illustration
A
(6π + 4) cm2
B
(6π + 16) cm2
C
(12π + 4) cm2
D
(12π + 16) cm2
9

A semicircle with a diameter of 8 meters is shown. A smaller semicircle with a diameter of 4 meters is cut out of the larger semicircle. A rectangle with side lengths of 2 meters and 5 meters is connected to the semicircle.

Question illustration
A
(6π + 10) m2
B
(10π + 10) m2
C
(12π + 10) m2
D
(16π + 10) m2
10

A rectangular pool has side lengths of 12 yards and 6 yards. An octagon is drawn around the pool. The octagon has 2 sides with lengths 12 yards, and 6 sides with lengths 6 yards. The area between the rectangle and the octagon is shaded.

Question illustration
A
176 square yards
B
196 square yards
C
208 square yards
D
280 square yards

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