SOLUTION: The length of a rectangle is 6 inches less than three times its width. Find the dimensions of the rectangle if its area is 45 square inches.

Question 196019: The length of a rectangle is 6 inches less than three times its width. Find the dimensions of the rectangle if its area is 45 square inches.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Area = Length * Width
.
BUT,,L= 3w-6,,,, given
.
A=l*w = (3w-6) * w = 3w^2 -6w = 45,,,given
.
3w^2 -6w -45 =0
.
3 (w^2 -2w -15) +0
.
Factoring
.
3(w+3)(w-5) = 0
.
using Zero Property
.
w+3 =0,,,,w = -3,,,not realistic
.
W-5 = 0, w=5,,,,ANSWER
.
Checking
.
w=5, L=3w-6 =3*5-6 = 15-6=9
.
A = l*w = 9*5 = 45 ,,,ok

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