Question

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

Answer 1

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.