Question 882674: A rectangular cutting board has an area of 112 square inches. Its perimeter is 44 inches. What are the dimensions of the cutting board? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! we are given two equations in two unknowns
l * w = 112
2l +2w = 44
we can reduce the second equation by dividing both sides of = by 2
l +w = 22
then l = 22-w
substitute for l in first equation
(22-w) * w = 112
22w -w^2 = 112
w^2 -22w +112 = 0
factor equation
(w-8)*(w-14) = 112
w = 8 or 14
we have two solutions
if w=8 inches, then l=14 inches
if w=14 inches, then l=8 inches
