# SSAT Middle Level Math : Geometry

## Example Questions

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

Find the perimeter of the given parallelogram if

23

36

30

26

36

Explanation:

In order to find the perimeter, we need to find the sum of the outer edges:

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

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

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

Not enough information provided

Not enough information provided

Explanation:

The area  of a parallelogram with height  and base  can be found with the equation . However, while we have been given the length of the base and of another side of the parallelogram, we still do not know the length of the base. Therefore, we do not have enough information to find the area.

### Example Question #11 : Parallelograms

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

Explanation:

The perimeter of a parallelogram is the sum of the length of its sides. Since we know the length of the base and of another side, we know that the remaining sides of the parallelogram match those lengths. Therefore:

### Example Question #11 : Parallelograms

Find the perimeter of the parallelogram if h=, b=, and c=.

Explanation:

In order to find the perimeter, find the sum of each OUTER side:

Notice the height isn't used in this calculation.

Keep in mind that the sides directly opposite of each other are of the same length. This is why we have  and  appearing twice in our work.

### Example Question #7 : How To Find The Perimeter Of A Parallelogram

Find the perimeter of the given parallelogram if

Explanation:

In order to find the perimeter, we must find the sum of the outer edges:

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

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

Find the perimeter of the given parallelogram if

Explanation:

In order to find the perimeter, we must find the sum of the outer edges:

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

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

Find the perimeter of the trapezoid.

Note: Figure not drawn to scale.

Explanation:

To find the perimeter of a trapezoid, add the lengths of the sides:

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

Find the perimeter of the given trapezoid if

20

18

14

19

20

Explanation:

To find the perimeter, we must find the sum of the OUTER edges:

Notice that the height wasn't included in our calculation.

### Example Question #3 : How To Find The Perimeter Of A Trapezoid

Find the perimeter of the given trapezoid if

20

27

31

24

27

Explanation:

In order to find the perimeter of the trapezoid, we must find the sum of the outer edges:

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

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

Find the perimeter of the given trapezoid if

44

56

22

54