SOLUTION: A rectangular yard area 96 square feet. if the width of the yard is 4 feet less than the length, what is the perimeter in feet, of the yard? Please include steps! Thank you much

Algebra ->  Rectangles -> SOLUTION: A rectangular yard area 96 square feet. if the width of the yard is 4 feet less than the length, what is the perimeter in feet, of the yard? Please include steps! Thank you much      Log On


   

Question 875120: A rectangular yard area 96 square feet. if the width of the yard is 4 feet less than the length, what is the perimeter in feet, of the yard?
Please include steps! Thank you much!!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w for width
L for length
w=L-4, and wL=96. Finding perimeter depends on finding w and L. First objective is solve for w and L.

Substitution into the area equation gives highlight_green%28%28L-4%29L=96%29.
L%5E2-4L=96
L%5E2-4L-96=0
%28L%2B8%29%28L-12%29=0, giving the solutions, cross%28L=-8%29 OR highlight%28L=12%29.

You can find w and then the perimeter from that.