SOLUTION: The perimeter of a rectangle is 34m , and the area of the rectangle is 72m^2 . Find the dimensions of the rectangle.

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Question 672196: The perimeter of a rectangle is 34m , and the area of the rectangle is 72m^2 . Find the dimensions of the rectangle.
Answer by neatmath(302)   (Show Source): You can put this solution on YOUR website!

This is a system of 2 equations using geometrical formulae:





So we have:

and

Let's use substitution to solve this:

Then,

















or

or

So, our width can equal 8 or 9. This also means our length can also be 9 or 8, respectively.

You can easily check that these values will work.

I hope this helps! :)

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