### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #11 : Area Of Polygons

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

**Possible Answers:**

**Correct answer:**

Write the formula for the area of a pentagon.

Substitute the side length and simplify.

### Example Question #12 : Area Of Polygons

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

**Possible Answers:**

**Correct answer:**

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 #1 : How To Find The Area Of A Pentagon

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

**Possible Answers:**

**Correct answer:**

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 #751 : Geometry

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

**Possible Answers:**

**Correct answer:**

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

Plugging in the information given by the question,

### Example Question #25 : Areas And Perimeters Of Polygons

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

**Possible Answers:**

**Correct answer:**

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 #26 : Areas And Perimeters Of Polygons

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

**Possible Answers:**

**Correct answer:**

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 #27 : Areas And Perimeters Of Polygons

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

**Possible Answers:**

**Correct answer:**

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 #28 : Areas And Perimeters 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?

**Possible Answers:**

**Correct answer:**

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 #981 : Ssat Upper Level Quantitative (Math)

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

**Possible Answers:**

**Correct answer:**

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

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

**Possible Answers:**

**Correct answer:**

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 .

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