SOLUTION: Jack is building a rectangular dog pen that he wishes to enclose.the width of the pen is 2 yards less than the length.if the area of the pen is 15 square yards,how many yards of fe

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Jack is building a rectangular dog pen that he wishes to enclose.the width of the pen is 2 yards less than the length.if the area of the pen is 15 square yards,how many yards of fe      Log On


   



Question 866044: Jack is building a rectangular dog pen that he wishes to enclose.the width of the pen is 2 yards less than the length.if the area of the pen is 15 square yards,how many yards of fencing would he need to completely enclose the fence?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangle Dimensions Problem:
x is length, y is width.
y=-2%2Bx and xy=15 and you want the perimeter. First solve for x and y.

xy=x%28x-2%29=15
x%5E2-2x=15
x%5E2-2x-15=0
%28x%2B3%29%28x-5%29=0
-
highlight%28x=5%29 and therefore, highlight%28y=3%29.
-
perimeter is 2%28x%2By%29.