Answered

"1. Find the area of the regular polygon. Give the answer to the nearest tenth.


pentagon with a side of 6 m (1 point)

123.9 m²

12.4 m²

61.9 m²

49.5 m"

1. Find the area of the regular polygon. Give the answer to the nearest tenth. pentagon with a side of 6 m (1 point) 123.9 m 12.4 m 61.9 m 49.5 m class=

Verified Answer :

taskmasters

To answer the question being asked, we need the expression for the area of a regular pentagon. It is expressed as:

A=(1/4) (a²) (√5(5+(2√5))


A=(1/4) (6²) (√5(5+(2√5))
A = 61.94

Therefore, the correct answer from the list of choices is the third option.

Area of regular pentagon is 61.94 m². So, option 'C' is the correct answer to the following question.

Area of regular pentagon:

What information do we have?

Side of pentagon = 6 m

Area of regular pentagon = \(\frac{1}{4\sqrt{5(5+2\sqrt{5} )}a^{2} }\)

Area of regular pentagon = \(\frac{1}{4\sqrt{5(5+2\sqrt{5} )}6^{2} }\)

Area of regular pentagon = 61.94 m²

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