# GRE Math : How to find the length of the side of a parallelogram

## Example Questions

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### Example Question #21 : Parallelograms

A parallelogram has a base of . An adjacent side to the base has a length of . Find the perimeter of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

A parallelogram must have two sets of congruent/parallel opposite sides. Therefore, this parallelogram must have two sides with a measurement of  and two base sides each with a length of  To find the perimeter of the parallelogram apply the formula:

, where  and  are the measurements of adjacent sides.

Thus, the solution is:

### Example Question #151 : Geometry

A parallelogram has a base of . The perimeter of the parallelogram is . Find the length for an adjacent side to the base.

Possible Answers:

Correct answer:

Explanation:

A parallelogram must have two sets of congruent/parallel opposite sides. Therefore, this parallelogram must have two sides with a measurement of  and two base sides each with a length of . To solve for the missing side, work backwards using the perimeter formula:

, where  and  are the measurements of adjacent sides.

Thus, the solution is:

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