# SOLUTION: The perimiter of a rectangular concrete slab is 60 feet and its area is 224 square feet. What is the length of the longer side of the slab?

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Question 84735: The perimiter of a rectangular concrete slab is 60 feet and its area is 224 square feet. What is the length of the longer side of the slab?
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length of the rectangular slab = L
width of the rectangular slab = W
Perimeter = 2L + 2W = 60
Area = L*W = 224
L =
Perimeter = = 60
=
=
= 0
 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=4 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 16, 14. Here's your graph:

= 0
W = 16 or W = 14
The longer side is therefore 16