SOLUTION: What is the area of the largest circle that can be inscribed within a rectangle with a perimeter of 108 units and its length 16 units greater than its width?

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Question 728753: What is the area of the largest circle that can be inscribed within a rectangle with a perimeter of 108 units and its length 16 units greater than its width?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




but your length is the width plus 16, so:



Solve for .

Then, the width being smaller than the length means that the width is the limiting value for the diameter of the largest possible inscribed circle. Half of the width then is the radius of your desired circle. . You can do your own arithmetic.

Note that there is no required precision given for a numerical approximation of the answer, therefore the requirement for an exact answer is implied. Express your answer in terms of .

John

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