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

Study concepts, example questions & explanations for GRE Math

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Example Questions

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Example Question #141 : Geometry

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 #21 : Quadrilaterals

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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