SOLUTION: The length of a rectangular garden is 4 m greater than the width. The area of the garden is 96mē, Find the length and width

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Question 227408: The length of a rectangular garden is 4 m greater than the width. The area of the garden is 96mē, Find the length and width
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
From the given information we can write:
L+4=W
a=LW
Plug the first equation into the second:
96=L%28L%2B4%29
Distribute the L
96=L%5E2%2B4L
Move the 96 to the other side:
0=L%5E2%2B4L-96
Factor:
0=%28L%2B12%29%28L-8%29
Set equal to zero:
L%2B12=0, L-8=0
Solve:
L=-12, L=8
The length can't be negative, so L=8
Plug back into the first equation:
W=8%2B4
So
W=12