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one side of a rectangle is 4 in shorter than three times the other side. find the sides if the perimeter of the rectangle is 48 in

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Answer:

sides are 7 in and 17 in

Explanation:

the perimeter (P) of a rectangle is calculated as

P = 2 ( sum of sides )

let s be the measure of 1 side then the other side is 3s - 4 , that is 4 in shorter than three times the other side s.

given P = 48 , then

2(s + 3s - 4) = 48

2(4s - 4) = 48 ( divide both sides by 2 )

4s - 4 = 24 ( add 4 to both sides )

4s = 28 ( divide both sides by 4 )

s = 7

3s - 4 = 3(7) - 4 = 21 - 4 = 17

the sides of the rectangle have measure 7 in and 17 in

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