SOLUTION: if the width of a rectangle is four feet less than the length and the perimeter is 152 feet, find the length of the rectangle.

Algebra.Com
Question 1021060: if the width of a rectangle is four feet less than the length and the perimeter is 152 feet, find the length of the rectangle.

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
L=length; W=width=L-4ft
.
P=2(L+W)
152 feet=2(L+(L-4ft))
76ft=2L-4ft
80ft=2L
40ft=L
.
ANSWER: The length of the rectangle is 40 feet.
.
CHECK:
W=L-4ft=40ft-4ft=36ft
Width is 36 feet.
P=2(L+W)
152 feet=2(40ft+36ft)
152 feet=2(76ft)
152 feet=152 feet
.


RELATED QUESTIONS

if the width of a rectangle is four feet less than the length and the perimeter is 68... (answered by JulietG)
The length of a rectangle is 7 feet less than twice the width. The perimeter is 64 feet.... (answered by ewatrrr)
The length of a rectangle is 5 feet less than four times the width if the perimeter is 80 (answered by algebra hello)
The length of a rectangle is 2 feet less than twice its width. If the perimeter is 26... (answered by Cromlix)
The length of a rectangle is 3 feet less than twice its width and the perimeter is 72... (answered by stanbon)
The length of a rectangle if 4 feet less than 4 times the width. If the perimeter is 132, (answered by rfer)
The perimeter of a rectangle is 16 feet. The width is 2 feet less than the length. Find... (answered by stanbon)
the perimeter of a rectangle is 28 feet. find the length of the rectangle if the length... (answered by TimothyLamb)
B. Solve the ff. problems. The perimeter of a rectangle is 152 meters. The width is 22 (answered by Theo,MathTherapy)