How to find the perimeter of a parallelogram

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

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1

If a parallelogram has side lengths of and , what is the perimeter?

CORRECT

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Explanation

The perimeter of a parallelogram is two times the two side lengths and add them together.

Therefore, this particular problem becomes as follows.

and

so

.

2

If the perimter of a parallelogram is and one of the sides is , what is the other side length?

CORRECT

The answer cannot be found

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Explanation

The perimeter of a parallelogram is found by adding up all four sides.

Since there are two pairs of side with equal lengths, two sides must have a length of .

So the perimeter would be

or .

To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by .

So .

That means the other side length would be .

3

Parallelogram

Note: Figure NOT drawn to scale.

, where and represent side lengths of the parallelogram and represents the height.

Find the perimeter of the parallelogram in the diagram.

CORRECT

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Explanation

The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes

.

Note that the height is irrelevant to the answer.

4

Find the perimeter of the parallelogram.

Isee_mid_question_5

26 in

CORRECT

13 in

0

36 in

0

18 in

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Explanation

To find the perimeter of a parallelogram, add the lengths of the sides. Opposite sides of a parallelogram are equivalent.