# SOLUTION: A water pipe runs diagonally under a rectangular garden that is 7 feet longer then it is wide. If the pipe is 13 feet long, what are the dimensions of the garden

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Question 447083: A water pipe runs diagonally under a rectangular garden that is 7 feet longer then it is wide. If the pipe is 13 feet long, what are the dimensions of the garden
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Let x ft be the width of the garden.
Let x+7 ft be the length of the garden.
...
... Pythagorean theorem

 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=289 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 5, -12. Here's your graph:

x must be positive.
x=5
x+7=12
Therefore, the dimensions of the garden is 5 ft by 12 ft.