SOLUTION:

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Question 313704:
Answer by r_mr(1) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 4m greater than the width. The area of the rectangle is 96+m%5E2. What is the length and the width of the rectangle?
Let x = length of the rectangle
y = width of the rectangle
Representation :
x = y + 4
Formula of the area of a rectangle A = lw therefore, A= xy
Solution:
A = 96m%5E2
96 = y (y + 4)
96 = y%5E2+%2B+4y
0 = y%5E2+%2B+4y+-+96
0 = (y + 12) (y - 8)
0 = y + 12 | 0 = y - 8
y = -12 | y = 8
length and width should not be negative.. the answer for the width is 8m. Length is 4m greater than the width so 8 + 4 = 12m for the length.
answer :
x = 12m and y = 8m