SOLUTION: The length of rectangle is 4m greater then the width. The area of the rectangle is 96m2 .Find the length and width.

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Question 347841: The length of rectangle is 4m greater then the width. The area of the rectangle is 96m2 .Find the length and width.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note Area of a rectangle = l*w
Let w be the width. The length will then be (w +4)
.
%28w%2B4%29%2A+w+=+96%28m%5E2%29
w%5E2%2B4%2Aw+=+96%28m%5E2%29
w%5E2%2B4%2Aw+-96%28m%5E2%29=+0
.
Factor
(w + 12)(w - 8)= 0
.
(w + 12)= 0 w=-12 is not an solution we can use
(w - 8)= 0
w = 8m
.
l = (w +4)
l = 12m