SOLUTION: A rectangle has a width five feet shorter than its length. The perimeter of the rectangle is 112ft. Find the length and width.

Question 644074: A rectangle has a width five feet shorter than its length. The perimeter of the rectangle is 112ft. Find the length and width.

Answer by Jan Jay Chan(1) (Show Source): You can put this solution on YOUR website!
Let x=length
x-5=width
Get the formula for the perimeter of rectangle
2L+2W=P
Substitute the x, x-5 and the given perimeter=112ft to the formula
2(x)+2(x-5)=112
2x+2x-10=112
4x=122
x=30.5
to get width:
x-5
(30.5)-5
=25.5
Length=30.5ft
Width=25.5ft
Check the answer:
2L+2W=p
2(30.5)+2(25.5)=112
61+51=112
112=112
RELATED QUESTIONS
the length of a rectangle is 8ft more than the width . the perimeter is 112ft . solve for (answered by ewatrrr)

a rectangle has a perimeter of 244 feet the width is 17 feet shorter than the length.... (answered by JulietG)

A rectangle has perimeter 70 feet, and its area is 294 sq-feet. Find the dimensions of... (answered by Alan3354)

The length of a rectangle is 2 feet more than five times its width. The perimeter of the (answered by elima)

The length of a rectangle is five inches less than twice its width. If the rectangle has... (answered by Alan3354)

The length of a rectangle is 8 feet shorter than three times the width. The perimeter is... (answered by rfer)

What is the perimeter of a rectangle with a width that is 7 feet shorter than its... (answered by Annabelle1)

A rectangle has width w and its length is 2 units shorter than 3 times the width. Which... (answered by macston)

The length of a rectangle is 3 feet less than twice its width and the perimeter is 72... (answered by stanbon)