SOLUTION: One side of a rectangle is 4 feet longer than the other side. If the rectangle has an area of 96 square feet, find its dimensions

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Question 192302: One side of a rectangle is 4 feet longer than the other side. If the rectangle has an area of 96 square feet, find its dimensions
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


We know, Area(rect) = L x W = 96sq.ft. (Eqn 1)

But, L = W + 4ft (4 ft longer)
So,
highlight%28W%2B4%29%28W%29=96ft%5E2
W%5E2%2B4W-96=0
%28W%2B12%29%28W-8%29=0
W=-12, disregard
red%28W=8ft%29, size of Width
Then,
L=W%2B4=8%2B4
red%28L=12ft%29, Length

Check via EQN 1:
L%2AW=96ft%5E2
12%2A8=96
96ft%5E2=96ft%5E2


Thank you,
Jojo