SOLUTION: The length of a rectangle is 19 centimeters less than six times its width. Its area is 20 square centimeters. Find the dimensions of the rectangle.

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Question 1133268: The length of a rectangle is 19 centimeters less than six times its width. Its area is 20 square centimeters. Find the dimensions of the rectangle.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=width
6x-19 =length
product is 20 cm^2
6x^2-19x-20=0
x^2-19x-120=0
(x-24)(x+5)=0 divide by 6 and reduce to lowest terms
(x-4)(6x+5)=0
x=4 cm, only positive root
the rectangle is 4cm x 5 cm or 20 cm^2