AnswersSTPSB_Geometry 2627 TreigleAngle Measures of Polygons

Area of Regular Polygons Answers

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A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.

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A
13.8 cm2
B
17.3 cm2
C
32.7 cm2
D
69.0 cm2
2
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The base of the right triangle drawn in the regular octagon measures 0.7 cm.

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A
11.2 cm
B
14.1 cm
C
15.2 cm
D
20.8 cm
3

The area of the regular hexagon is 169.74 ft2.

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A
24.2 ft
B
28.3 ft
C
48.5 ft
D
56.8 ft
4

A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?

A
600 in.2
B
1,038 in.2
C
1,200 in.2
D
2,076 in.2
5

A regular decagon has a radius of 8 cm.What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

A
188 cm2
B
198 cm2
C
304 cm2
D
375 cm2
6

A regular pentagon is shown.

Question illustration
A
2.9 cm
B
3.3 cm
C
4.9 cm
D
6.5 cm
7

Which statements about finding the area of the equilateral triangle are true? Select three options.

A
The apothem can be found using the Pythagorean theorem.
B
The apothem can be found using the tangent ratio.
C
The perimeter of the equilateral triangle is 15 cm.
D
The length of the apothem is approximately 2.5 cm.
E
The area of the equilateral triangle is approximately 65 cm2.
8

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

Question illustration
A
71 ft2
B
101 ft2
C
110 ft2
D
202 ft2
9

A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in.

Question illustration
A
88 in.2
B
175 in.2
C
332 in.2
D
700 in.2
10

A square has an apothem measuring 2.5 cm and a perimeter of 20 cm.What is the area of the square, rounded to the nearest square centimeter?

A
13 cm2
B
25 cm2
C
50 cm2
D
100 cm2

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