SOLUTION: A square and rectangle have the same area. The length of the rectangle is five inches more than twice the length of the side of the square. The width of the rectangle is 6 inches l

Question 1152647: A square and rectangle have the same area. The length of the rectangle is five inches more than twice the length of the side of the square. The width of the rectangle is 6 inches less than the side of the square. Find the length of the side of the square.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
square has side x
rectangle has length 2x+5 and width x-6. Its area is 2x^2-7x-30
The square's area is x^2
The difference between the two is zero, since they are equal
so x^2-7x-30=0
(x-10)(x+3)=0
x=10 inches side of square
rectangle is 25 x 4 inches
RELATED QUESTIONS
Application problem. A square and rectangle have the same area. The length of the... (answered by ankor@dixie-net.com)

Application problem - integers A square and rectangle have the same area. The length... (answered by josgarithmetic)

A square and a rectangle have the same area. The length of the rectangle is eight inches... (answered by greenestamps)

The area of a rectangle is 12 square inches. The length is 5 more than twice it�s width.... (answered by ben720)

Ok a square and rectangle have the same area .the length of the rectangle is five inches... (answered by josgarithmetic)

A square and a rectangle have the same area. The length of the rectangle is eight inches... (answered by ikleyn)

A square and a rectangle have the same area. The length of the rectangle is nine inches... (answered by ikleyn)

A square and a rectangle have the same area. The length of the rectangle is three inches... (answered by ikleyn,Solver92311)

The length of a rectangle is 5 inches more than twice the width. The area of the... (answered by Earlsdon,Targetweek)