Eriko Eriko
  • 13-12-2024
  • Mathematics
High School

A rectangle with an area of [tex]120 \, \text{in}^2[/tex] has a length 8 inches longer than two times its width. What is the width of the rectangle?

Answer :

musiclover10045 musiclover10045
  • 20-09-2023

width = x

length = 2x+8

area = l x w

x(2x+8)=120

2x^2+8x−120=0

x^2+4−60=0

(x+10)(x−6)=0

x=−10 and x=6

width has to be a positive number

Width = 6

 inches.

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