# SSAT Upper Level Math : How to find the area of a pentagon

## Example Questions

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### Example Question #13 : Area Of Polygons

Find the exact area of a pentagon if the side length is .

Explanation:

Write the formula for the area of a pentagon.

Substitute the side length and simplify.

### Example Question #14 : Area Of Polygons

In terms of , find the area of a regular pentagon that has a side length of  and an apothem of .

Explanation:

To find the area of a regular polygon,

To find the perimeter of the pentagon,

For the given pentagon,

So then, to find the area of the pentagon,

### Example Question #15 : Area Of Polygons

Find the area of a regular pentagon that has a side length of  and an apothem of .

Explanation:

To find the area of a regular polygon,

To find the perimeter of the pentagon,

For the given pentagon,

So then, to find the area of the pentagon,

### Example Question #16 : Area Of Polygons

Find the area of a regular pentagon with a side length of .

Explanation:

Use the following formula to find the area of a regular pentagon:

Plugging in the information given by the question,

### Example Question #17 : Area Of Polygons

In terms of , find the area of a regular pentagon with side lengths of  and an apothem of .

Explanation:

To find the area of a regular polygon,

To find the perimeter of the pentagon,

For the given pentagon,

So then, to find the area of the pentagon,

### Example Question #18 : Area Of Polygons

In terms of , find the area of a regular pentagon that has a side length of  and an apothem of .

Explanation:

To find the area of a regular polygon,

To find the perimeter of the pentagon,

For the given pentagon,

So then, to find the area of the pentagon,

### Example Question #19 : Area Of Polygons

In terms of , find the area of a regular pentagon with side lengths of  and an apothem of .

Explanation:

To find the area of a regular polygon,

To find the perimeter of the pentagon,

For the given pentagon,

So then, to find the area of the pentagon,

### Example Question #20 : Area Of Polygons

The area of a regular polygon is . If the length of its apothem is , what is the length of each side of the pentagon?

Explanation:

To find the area of a regular polygon,

For the given pentagon,

To find the length of each side of the pentagon, divide the perimeter by .

### Example Question #1 : How To Find The Area Of A Pentagon

A regular pentagon has an area of . Find the length of each side of the pentagon if the apothem has a length of .

Explanation:

To find the area of a regular polygon,

For the given pentagon,

To find the length of each side of the pentagon, divide the perimeter by .

### Example Question #2 : How To Find The Area Of A Pentagon

The area of a regular pentagon is . Find the length of a side of the pentagon if the apothem has a length of .