SOLUTION: The area of a rectangle is 77 m2 , and the length of the rectangle is 10 m less than three times the width. Find the dimensions of the rectangle.

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Question 1116611: The area of a rectangle is
77 m2
, and the length of the rectangle is
10 m
less than three times the width. Find the dimensions of the rectangle.

Answer by math_helper(2461) About Me  (Show Source):
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Ans: Width = 7m, Length = 11m
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The work-out:
LW = 77 (1)
L = 3W-10 (2)
Subs for L from (2) into (1):
(3W-10)*W = 77
3W^2 - 10W - 77 = 0
(3W + 11)(W - 7) = 0 —> W = -11/3 and/or W=7
Discard the negative solution as W>0 is required.
W=7 —> L=11