7.3k views
0 votes
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

1 Answer

2 votes

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

User Bizi
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories