Question 466667: The length of a rectangle is longer than its width.
If the perimeter of the rectangle is , find its area. Found 2 solutions by richard1234, solver91311:Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! Missing numbers. I hope you did not copy/paste from some website that renders numbers as images and forget to check what you wrote.
Let represent the width. Let represent the amount the length exceeds the width. Then represents the length, . Let represent the perimeter and represent the area.
The perimeter of a rectangle is given by:
So we can say
From which we can derive:
Similarly, if we allow the width to be represented as , we can derive:
The area of a rectangle is given by:
Substituting:
And simplifying results in:
John
My calculator said it, I believe it, that settles it
