# SSAT Middle Level Math : Geometry

## Example Questions

### Example Question #171 : Geometry

A given parallelogram has a base  in length, a height  in length, and a side of length  opposite the height. What is the area of the parallelogram?

Explanation:

The formula for the area of a parallelogram is , with base and height represented by  and , respectively. Substituting values from the question:

### Example Question #3 : How To Find The Area Of A Parallelogram

A parallelogram has a height of  in length, a side of length  opposite the height, and a base of . What is the area of the parallelogram?

Explanation:

Given base  and height .

Substituting the values from our question:

### Example Question #172 : Geometry

A parallelogram has a base of length , a height of length , and a side of length . What is the area of the parallelogram?

Explanation:

Given base  and height .

Substituting the values from our question:

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

Find the area of a parallelogram with a height of , a base of , and a side length of .

Explanation:

The area  of a parallelogram with height  and base  can be found with the equation . Consequently:

### Example Question #6 : How To Find The Area Of A Parallelogram

Find the area of a parallelogram with a height of , base of , and a side length of .

Explanation:

The area  of a parallelogram with height  and base  can be found with the equation . Consequently:

### Example Question #171 : Quadrilaterals

Find the area of the following parallelogram:

Note: The formula for the area of a parallelogram is .

Explanation:

The base of the parallelogram is 10, while the height is 5.

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

Find the area:

Explanation:

The area of a parallelogram can be determined using the following equation:

Therefore,

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

Find the area of the given parallelogram if   .

Explanation:

In order to find the area of a parallelogram, we need to find the product of the base length and height.

Notice that only two of the given values were needed to slove this problem.

### Example Question #1 : How To Find The Perimeter Of A Parallelogram

Find the perimeter of the given parallelogram if

16

14

12

18

18

Explanation:

In order to find the perimeter, we find the sum of the OUTER sides:

Notice that we didn't use the height in our calculation.

### Example Question #2 : How To Find The Perimeter Of A Parallelogram

Find the perimeter of the given parallelogram if

24

22

36

38