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What is the area of a regular pentagon with a side length of 9 millimeters and an apothem length of 6.2 millimeters? A. 55.8 millimeters squared B. 279.0 millimeters squared C. 27.9 millimeters squared
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What is the area of a regular pentagon with a side length of 9 millimeters and an apothem length of 6.2 millimeters?

A. 55.8 millimeters squared
B. 279.0 millimeters squared
C. 27.9 millimeters squared
D. 139.5 millimeters squared

User Thirumalaa Srinivas
by
8.0k points

1 Answer

2 votes
A Pentagon can be broken up into 5 equal triangles. Area of the Pentagon is the sum of all the 5 triangles.

Area of the pentagon = 5 ( 1/2 x 6.2 x 9) = 139.5 mm²

Answer: 129.5 mm² (Answer D)
User Corvax
by
8.3k points
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