SOLUTION: the length of a rectangle is 4 inches longer than its width. the perimeter of the rectangle is 112. find the dimensions of the rectangle.

Question 492067: the length of a rectangle is 4 inches longer than its width. the perimeter of the rectangle is 112. find the dimensions of the rectangle.
Answer by Jstrasner(112) (Show Source): You can put this solution on YOUR website!
Hey,
So for this problem we need to write down what we know and make formulas:
L = 4 + W
P = 2L + 2W
P = 112
112 = 2L + 2W
Now we need to substitute L in the second equation with 4 + W:
112 = 2(4 + W) + 2W => 112 = 8 + 2W + 2W => 112 = 8 + 4W => 104 = 4W => 26 = W
L = 4 + W => L = 4 + 26 => L = 30
So the length of the rectangle is 30 inches and the width of the rectangle is 26 inches.
I hope this helps!
RELATED QUESTIONS
the width of a rectangle is 4 inches less than than its length. The perimeter is 112... (answered by mangeshpjoshi)

The width of a rectangle is 10 inches less than its length. If the perimeter is 112... (answered by waynest)

the width of a rectangle is ten inches less than its length the perimeter of the... (answered by Cromlix)

Five times the width of a rectangle is 10 more than its length. If the perimeter of the... (answered by checkley77)

The perimeter of a rectangle is 36 inches. If the length is 4 inches longer than the... (answered by ewatrrr)

The length of a rectangle is 9 inches more than the width. Its area is 112 square inches. (answered by drj)

The length of a rectangle is 4 inches longer than its width. If the perimeter of the... (answered by fractalier)

perimeter of a rectangle is 112 inches the length exceeds the width by 4 inches find the... (answered by rfer)

a rectangle has the perimeter of 24inches. the length is 4 inches longer than the width.... (answered by josgarithmetic,ikleyn)