SOLUTION: The length of a rectangle is 5 cm longer than the width. The perimeter of the rectangle is 50 cm. Find the length and width of the rectangle.

Question 866589: The length of a rectangle is 5 cm longer than the width. The perimeter of the rectangle is 50 cm. Find the length and width of the rectangle.
Found 2 solutions by JulietG, josgarithmetic:
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
2L + 2W = 50
L = W+5
Substitute the value of L from the second equation into the first.
2(W+5) + 2W = 50
2W+10 + 2W = 50
4W + 10 = 50
Subtract 10 from each side.
4W = 40
Divide each side by 4
W = 10
.
If the width is 10, then the length is 10+5, or 15.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
w=width
L=length
Formula for perimeter, p=2(w+L)
Given:
p=50

Substitute,

Actual correct steps can vary some, but w, if in symbolic form must be equivalent to the green-outlined formula shown. Just substitute for the given p value of 50, and compute w.
-
You could do all this without being in pure symbolic form - it's up to you; but it depends on how many of this general type of rectangle exercise you have. This is a very frequent type of exercise problem and generalizing its solution can be more efficient if you have many of these.
RELATED QUESTIONS
The perimeter of a rectangle is 64 cm. The length is 4 cm less than twice the width. Find (answered by solver91311)
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 2 cm longer than its width. If the perimeter of the... (answered by ikleyn)
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)
The length of a rectangle is 6 inches more than three times the width. The perimeter is... (answered by stanbon)
The length of a rectangle is 1 cm shorter than the diagonal. The length is 2 cm longer... (answered by Boreal)
The length of a rectangle is 5 cm longer than its width. If the perimeter of... (answered by josgarithmetic,MathTherapy)
A rectangle is 5 cm longer than its width. If the perimeter of the rectangle is 66 cm,... (answered by srinivas.g)