SOLUTION: The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 96 squ

Question 597485: The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 96 square centimeters. Find the side of the square.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 96 square centimeters. Find the side of the square.
**
I will assume you meant the width of the rectangle is 4 cm instead of 4 m longer than the length.
..
let x=side of square
length of rectangle=x
width of rectangle =x+4
area of square=x^2
area of rectangle=length*width=x(x+4)
area of square+area of rectangle=96
x^2+x(x+4)=96
x^2+x^2+4x=96
2x^2+4x-96=0
x^2+2x-48=0
(x+8)(x-6)=0
x=-8 (reject, x>0)
x=6
ans:
side of square=6 cm

RELATED QUESTIONS
The side of a square equals the length of a rectangle. The width of the rectangle is 4... (answered by checkley77)

the side of a square equals the length of a rectangle. the width of the rectangle is 4... (answered by Boreal)

The length of a rectangle is 4 meters longer than its width, and its area is 10 square... (answered by josgarithmetic)

The side of a square equals the width of a rectangle. The length of the rectangle is 20... (answered by ikleyn)

The side of a square equals the width of a rectangle. The length of the rectangle is 10... (answered by chen.aavaz)

I need help solving this problem: The side of a square equals the width of a rectangle.... (answered by ankor@dixie-net.com)

The side of a square equals the width of a rectangle. The length of the rectangle is 8... (answered by addingup,MathTherapy)

The area of a rectangle is 21 square meters. What is the length and width of the... (answered by Alan3354)

Please help! This problem makes no sense to me!! The length of a rectangle is 4 meters (answered by solver91311)