SOLUTION: The length of a rectangle is 4 meters greater than the width. The area of the rectangle is 96 meters squared. What is the length and width?

Click here to see ALL problems on Equations

Question 249899: The length of a rectangle is 4 meters greater than the width. The area of the rectangle is 96 meters squared. What is the length and width?
Found 2 solutions by ly12603, MathTherapy:
Answer by ly12603(44) (Show Source):
You can put this solution on YOUR website!
convert this into a simple equation: w+4+w+4+w+w (w for width)
combine like terms: 4w+8=96 (the area is 96)
subtract 8: 4w= 88
divide by four: w=11
the width is eleven where as the length is fifteen

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 4 meters greater than the width. The area of the rectangle is 96 meters squared. What is the length and width?
Let the width of the rectangle be W

Then its length = W + 4

Since its area = 96, then we'll have: W(W + 4) = 96

(W + 12)(W - 8) = 96
W = 8, as the negative value of W should be ignored

Therefore, W, or width = meters, while the length = (8 + 4) meters.