SOLUTION: The perimeter of a rectangle is 304 cm the length is 40 cm longer than the width what is the length and width

Algebra.Com
Question 1093539: The perimeter of a rectangle is 304 cm the length is 40 cm longer than the width what is the length and width

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is 304 cm
2L + 2w = 304
simplify, divide by 2
L + w = 152
:
the length is 40 cm longer than the width
L = w + 40
:
what is the length and width
In the first simplified equation, replace L with (w+40)
(w+40) + w = 152
2w = 152 - 40
2w = 112
w = 112/2
w = 56 cm is the width
then
L = 56 + 40
L = 96 cm is length
:
:
Check this, find the perimeter using these solutions
2(96) + 2(56) =
192 + 112 = 304

RELATED QUESTIONS

Solve the problems in one variable. The perimeter of the rectangle is 304 cm. The... (answered by Boreal)
The length of a rectangle is 5 cm longer than the width. The perimeter of the rectangle... (answered by JulietG,josgarithmetic)
The length of a rectangle is 2.5 cm longer than twice the width. The perimeter is 40 cm.... (answered by mananth)
The length of a rectangle is 6 cm longer than its width. If the perimeter is 40 cm, what... (answered by jojo14344)
The length of a rectangle is 2 cm longer than its width. If the perimeter of the... (answered by ikleyn)
The lenghth of a rectangle is 3.5 cm longer than its width. The perimeter of the... (answered by waynest)
The length of a rectangle is 8 cm more than two times the width. If the perimeter of the... (answered by ewatrrr)
The length of a rectangle is 4 cm longer than the with. If the perimeter is 16 cm, find... (answered by algebrahouse.com)
the perimeter of a rectangle is 82 cm. The length is 6 cm longer than the width. Find... (answered by Cromlix)