SOLUTION: The length of a rectangle is 5 meters longer than the width. If the area is 22 square meters, find the rectangle's dimensions.

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Question 955277: The length of a rectangle is 5 meters longer than the width. If the area is 22 square meters, find the rectangle's dimensions.
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
W=width; L=length=W+5m
A=L*W Substitute for L.

Subtract 22m^2 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=113 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.81507290636732, -7.81507290636732. Here's your graph:

W=2.815m ANSWER 1: The width is 2.815 meters.
L=7.815m ANSWER 2: The length is 7.815 meters.
CHECK:
A=L*W
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