Pentagons

Practice Questions

Intermediate Geometry › Pentagons

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1

Each side of this pentagon has a length of .

Solve for the area of the pentagon.

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2

If a regular pentagon has an area of and an apothem length of , what is the length of a side of the pentagon?

3

A regular pentagon has a perimeter of and an apothem length of . Find the area of the pentagon.

4

A regular pentagon has a perimeter of and an apothem length of . Find the area of the pentagon.

5

Each side of this pentagon has a length of .

Solve for the area of the pentagon.

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6

If a regular pentagon has an area of and an apothem length of , what is the length of a side of the pentagon?

7

In the figure below, find the area of the pentagon if the length of is one-fourth the length of .

2

8

Given: Pentagon .

True, false, or undetermined: Pentagon is regular.

9

Let the area of a regular pentagon be . What is the value of an interior angle?

10

If a side length of a pentagon is , what is the perimeter of the pentagon?

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