SOLUTION: the area of the table top is 26 square feet, and twice the length is 3 feet shorter than 4 times the width. Find the permeter of the table top

Question 591034: the area of the table top is 26 square feet, and twice the length is 3 feet shorter than 4 times the width. Find the permeter of the table top
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
A = L*W
1) L*W = 26 and...
2) 2L = 4W-3 "...twice the length (L) is 3 feet shorter than 4 times the width (W)."
Multiply equation 1) by 2 to get:
Substitute for 2L equation 2):
Simplify.
Subtract 52 from both sides.
Factor this quadratic equation.
Apply the zero product rule.
or therefore:
or Discard the negative solution as thw width, W, is a positive quantity.
and

and
Perimeter, P = 2L+2W

feet.

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