Math
posted by Katie on .
The length of a rectangle is 6 inches less than 3 times its width. Find the dimensions of the rectangle if its area is 45 square inches.

W = X in.
L = (3x  6) in.
A = L*W = (3x6)X = 45,
3x^2  6x = 45
3x(x2) = 45,
x(x2) = 15,
x^2  2x  15 = 0
(x5)(x+3) = 0,
x5 = 0,
x = 5 in.
x+3 = 0,
x = 3.
Solution Set: x = 5, and x = 3.
Select + value of X:
x = 5
W = x = 5 in.
L = 3x6 = 3*5  6 = 9 in.