SOLUTION: The length of a rectangle is twice the length of each side of a square and the width of the rectangle is 1 inch less than the length of each side of the square. The perimeter of th

Question 125152: The length of a rectangle is twice the length of each side of a square and the width of the rectangle is 1 inch less than the length of each side of the square. The perimeter of the rectangle exceeds the perimeter of the square by three. Find the length of each side of the square.
I tried solving it, but each time I got a negative answer.
Found 2 solutions by solver91311, scott8148:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The side of the square is s.

The length of the rectangle is then 2s, so , and

The width of the rectangle is s - 1, so

The perimeter of a rectangle is given by and the perimeter of a square is given by .

Substituting in the expression for , we get

But , so

Side of the square is . Length of the rectangle is , Width of the rectangle is

Check answer

And finally,
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x="side of square"

"The length of a rectangle is twice the length of each side of a square"
__ L=2x

"the width of the rectangle is 1 inch less than the length of each side of the square"
__ W=x-1

"The perimeter of the rectangle exceeds the perimeter of the square by three"
__ 2L+2W=4x+3

substituting __ 2(2x)+2(x-1)=4x+3 __ 6x-2=4x+3 __ 2x=5
RELATED QUESTIONS
The length of a rectangle is 3ft less than twice tha width of the rectangle. Tha... (answered by mananth)
The length of a rectangle is 3ft less than twice the width of the rectangle. Tha... (answered by ad_alta)
the length of a rectangle is 1 inch less than the width. the area of the rectangle is 21... (answered by Fombitz)
if The length of a rectangle is 1 inch less than twice its width, and its perimeter is 40 (answered by Fombitz)
The length of a rectangle is 1 inch less than twice the width, and the perimeter is 40... (answered by TimothyLamb)
The width of a rectangle is 1 inch less than twice the side of a square. the length of a (answered by josgarithmetic)
The length of a rectangle is 1 m less than twice the width. The area of the rectangle is... (answered by jojo14344)
The area of a rectangle is 91 square inches. Its length is 1 inch less than twice its... (answered by ewatrrr)
The width of a rectangle is 1 inch more then twice it's length, and the perimeter is is... (answered by waynest)