AnswersECASD - Geometry A - CRArea of Composite Figures

Area of Composite Figures Answers

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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
2
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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
3

Which expressions represent the area of the entire shaded region, including the light and dark shading? Select three options.

A
12a cm2
B
2b cm2
C
(6a – b) cm2
D
(12a + 2b) cm2
E
(6a + b) cm2
4

A circle is inscribed in a regular hexagon with side length 10 feet. What is the area of the shaded region?

Question illustration
A
(150 – 75π) ft2
Option A
B
(300 – 75π) ft2
C
(150 – 25π) ft2
Option C
D
(300 – 25π) ft2
5

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.

Question illustration
A
70 cm2
B
100 cm2
C
105 cm2
D
130 cm2
6

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
7

Question text not available

Question illustration
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
8

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
9

A square is inscribed in an equilateral triangle that is inscribed in a circle.

Question illustration
A
area of the circle – area of the square – area of the triangle
B
area of the triangle – area of the square + area of the circle
C
area of the triangle + area of the square + area of the circle
D
area of the circle – area of the triangle + area of the square

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