SOLUTION: If the length of a rectangle is 3 feet longer than the width and the diagonal is 15 feet, then what are the length and width?

Question 349686: If the length of a rectangle is 3 feet longer than the width and
the diagonal is 15 feet, then what are the length and width?

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let the width be w and the length be l
} pythagorian 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=21 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.79128784747792, -3.79128784747792. Here's your graph:

The width cannot be nagative, so it must be 0.79
Which makes the length 3.79
Check your answer. Does
?
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