SOLUTION: The length of a rectangle flower bed is 7 feet less than 3 times its width. The area of the bed is 20 square feet. Find the dimensions of the bed.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The length of a rectangle flower bed is 7 feet less than 3 times its width. The area of the bed is 20 square feet. Find the dimensions of the bed.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 189489: The length of a rectangle flower bed is 7 feet less than 3 times its width. The area of the bed is 20 square feet. Find the dimensions of the bed.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Let w be the width, then

Let 3w - 7 is the length.

The area is the length times the width so:





Solve the quadratic by factoring. One of the roots will be negative which is an absurd result when calculating the measure of something, so exclude that root. The positive root will be your width. 3 times the width minus 7 will be the length.

John