the area of a rectangle is 77m sq ,and the length of the rectangle is 10 m less than three times the width find the dimension of the rectangle
Let W = the width of the rectangle
Then the length L = 3W - 10
LxW = Area
(3W-10)(W) = 77
3W^2 -10W = 77 Now subtract the 77 to make a quadratic equation in standard form
3W^2 - 10W - 77 = 0 Now factor
(3W +11)(W - 7) = 0
3W + 11 = 0
3W = -11
W = -11/3 But width cannot be negative, so we can throw out this answer
W - 7 = 0
W = 7m
L = 3(7) - 10 = 21 - 10 = 11m
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