SOLUTION: The length of a rectangle exceeds its width by 5m. If the width is increased by 1m and the length is decreased by 2m, the area of the new rectangle is 4 sq m less than the area of
Algebra.Com
Question 1009726: The length of a rectangle exceeds its width by 5m. If the width is increased by 1m and the length is decreased by 2m, the area of the new rectangle is 4 sq m less than the area of the original rectangle. Find the dimensions of the original rectangle.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The area is A = LW for a rectangle.
We have originally
L = W + 5
Then the area is (W+5)W = W^2 + 5W
Then
(L-2)(W+1) = W^2 + 5W - 4
Substituting we get
(W+5 - 2)(W+1) = W^2 + 5W - 4
(W + 3)(W + 1) = W^2 + 5W - 4
W^2 + 4W + 3 = W^2 + 5W - 4
and W = 7 m so that
L = 12 m
RELATED QUESTIONS
The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is... (answered by josmiceli)
Please help me solve this problem.
The length of a rectangle is three times its width.... (answered by rothauserc)
A rectangular garden is 4m longer than it is wide. If the width is decreased by 1m, and... (answered by lwsshak3)
The length of a rectangle is 5 times its width. When the length is decreased by 3m and... (answered by ankor@dixie-net.com)
The length of a rectangle is 3 times the width. If the length is decreased by 4 and width (answered by mananth)
If the length of a rectangle is increased by 40% and its width is decreased by 20%, what... (answered by checkley77)
the length of a rectangle exceeds its width by 7m. If the length is decreased by 3 m and... (answered by LOL MASTER)
the length of a rectangle is 5m less than twice its width. If its width is increased by... (answered by edjones)
The length of a rectangle is twice its width. If the length is decreased by 10ft. and the (answered by josgarithmetic)