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16-09-2018
Mathematics

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The perimeter of ▭pqrs is 186. Find the length of each side of ▭pqrs under the given conditions: rs = sp − 7.

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16-09-2018

The formula of a perimeter of ▭PQRS is equal P = 2|RS| + 2|SP|.

We have:

P = 186

|RS| = |SP| - 7

Substitute

2(|SP| - 7) + 2|SP| = 186 |:2

|SP| - 7 + |SP| = 93 |+7

2|SP| = 100 |:2

|SP| = 50

|RS| = 50 - 7 = 43

Answer: 50, 43, 50, 43.

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