MATHEMATICS MIDDLE SCHOOL

Find the area of a regular pentagon with an apothem of 11 units. *364 square units
O 440 square units
516 square units
O 166 square units

Answers

Answer 1
Answer:

Answer:

440 square units

Step-by-step explanation:

We can find half of a side of the pentagon with the expression

tan(36\°)=(s_(half) )/(11)

Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.

s_(half) \approx 8

Therefore, half of a side is 8 units long, which means each side measures 16 units.

Now, the area of a penthagon is defined by

A=(p * a)/(2)

Where p is the perimeter and a is the apothem. Where the perimeter is the sum of all sides, which is 80 units.

A= (80 * 11)/(2) =440 \ u^(2)

Therefore, the right answer is the second choice.

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Answers


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Answers

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Answer:

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and
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that is a multiple of
5
,
10
, and
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Answers

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Answers

Answer:

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Step-by-step explanation:

First:

put the equation together

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Secondly:

condense

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Answers

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