SOLUTION: A rectangle has an area of 20 square feet and a diagonal of 4 feet.What is the length of the rectangle?
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Question 467384: A rectangle has an area of 20 square feet and a diagonal of 4 feet.What is the length of the rectangle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Sorry, no such animal exists. The largest possible area for a rectangle with a given perimeter is when the rectangle is a square with sides that each measure one-fourth of the perimeter, or as in this case sides that measure 
times the measure of the diagonal. Hence the largest possible area for a rectangle with a diagonal of 4 is a square with sides that measure 
, and which therefore has an area of 8 square feet -- not anywhere near 20 square feet.
John
My calculator said it, I believe it, that settles it
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