How to find the perimeter of a parallelogram

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SSAT Middle Level Quantitative › How to find the perimeter of a parallelogram

Questions 1 - 8
1

Parallelogram

Find the perimeter of the given parallelogram if

36

30

26

23

Explanation

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

Parallelogram_labeled

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

2

Parallelogram

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.

3

Parallelogram

Find the perimeter of the given parallelogram if

36

38

22

24

Explanation

In order to find the perimeter of the parallelogram, we must add the OUTER edges:

Parallelogram_labeled

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

4

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

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.

5

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: Parallelogram_labeled

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

6

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:

Parallelogram_labeled

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

7

Parallelogram

Find the perimeter of the given parallelogram if

18

12

16

14

Explanation

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

Parallelogram_labeled

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

8

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:

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