SOLUTION: the length of a rectangle is 2 feet less than 3 times its width. Find the length and width if the area of the garden is 21 square feet.

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Question 46916: the length of a rectangle is 2 feet less than 3 times its width. Find the length and width if the area of the garden is 21 square feet.
Answer by mathchemprofessor(65) About Me  (Show Source):
You can put this solution on YOUR website!
Let the width of the rectangle be x feet. So, its length will be (3x-2)feet. Since area is 21 square feet. The equation is
(3x-2).x=21
3x^2-2x-21=0
Solving either by factoring or using quadratic formula,x=3 or -7/3.
The length of the rectangle=(3x-2)=7 feet and width=3.
Note:-7/3 is not valid for getting the solution.