AnswersOC27 GEO-1206310-S2-Degele-VOL7006PArea of Composite Figures

Lesson 11.5: Area of Composite Figures Answers

16 verified answers4 views
1
Free Preview

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
2
Free Preview

A square is inscribed in a circle of diameter 12 millimeters. What is the area of the shaded region?

Question illustration
A
(72π – 144) mm2
B
(72π – 72) mm2
C
(288π – 288) mm2
D
(288π – 144) mm2
3

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
4

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
5

A circle is shown. 2 radii with length 8 inches are drawn. A line connects the radii points on the circle to form a triangle. The angle between the 2 radii is 90 degrees. The area between the triangle and the outline of the circle is shaded.

Question illustration
A
(16π – 32) in2
B
(16π – 8) in2
C
(64π – 32) in2
D
(64π – 8) in2
6

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
7

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
8

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
9

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
10

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
11

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
12

A carpenter is making a wooden window frame that has a width of 1 inch.

Question illustration
A
5.5 + 106 square inches
Option A
B
5.5 + 116 square inches
Option B
C
5.5 + 153 square inches
Option C
D
5.5 + 162 square inches
Option D
13

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
14

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
15

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
16

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
17

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
18

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
19

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Area of Composite Figures

Quiz
10 verified answers

Density and Design Problems

Quiz
9 verified answers

Area of Composite Figures