70.2k views
5 votes
The length of a rectangle is 10 inches greater than the width.The area of the rectangle is 75 inches.Find the dimensions.

1 Answer

3 votes
x = width
x + 10 = length

x * (x+10) = 75
x² + 10x = 75
- 75 -75
x² + 10x -75 = 0
(x - 5)(x + 15) = 0 Factor
Either x-5 = 0 or x+15 = 0

Solve for x:
x-5 = 0
x = 5

x+15 = 0
x = -15

Since a rectangle's dimension can't be negative, x will equal 5. x+10 = 15.
Your final answer should be 5 in. by 15 in. Hope this helps!
User Joergen Bech
by
8.1k 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