SOLUTION: The area of a rectangular garden is 1184 ft2 . The width is 5 ft more than the length. Find the dimensions of the garden.

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Question 876370: The area of a rectangular garden is 1184 ft2 . The width is 5 ft more than the length. Find the dimensions of the garden.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
A = Lw = x(x+5) = 1184
x^2 + 5x - 1184 = 0 (tossing out negative solution for unit measure)
x = 32ft, the length. width is 37ft
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=4761 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 32, -37. Here's your graph:
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