SOLUTION: The length of a rectangular yard is 5 feet longer than its width, x. The area of the yard is 104 sq ft. Use a quadratic to solve for the width.

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Question 945545: The length of a rectangular yard is 5 feet longer than its width, x. The area of the yard is 104 sq ft. Use a quadratic to solve for the width.
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
(X+5)(X)=104 sq ft
Subtract 104 from each side

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=441 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 8, -13. Here's your graph:

answers are 8,-13
ANSWER the width of the yard is 8 feet,
CHECK:
length = W+5=8+5=13 ft
Area=104 sq ft
104 sq ft=(13ft)(8ft)
104 sq ft=104 sq ft
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