137k views
5 votes
The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5x = 300. What are the measures of the width and the length?

User Dshkol
by
6.3k points

1 Answer

0 votes

Answer:

width is 15, length is 20

Explanation:

(length=5+x, width=x, area=300)

x²+5x=300

x²+5x-300=0

x²+20x-15x-300=0

(x+20)(x-15)=0

x=-20, x=15 (x can not be negative)

width=15

length=20

User Nouatzi
by
6.3k points