SOLUTION: A playground has an area of 456 meters and a perimeter of 100 meters. How long and wide is it.

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Question 978359: A playground has an area of 456 meters and a perimeter of 100 meters. How long and wide is it.
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
456 meters is not an area, it's a distance.

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


If a rectangle has an area and a perimeter , then the length and width of the rectangle are related to the area and perimeter thus:



so



and then



Then



Substituting:



or



And further:



Plug in your constants for Area and Perimeter, and then solve the quadratic for . You should get 2 positive roots, one of which will be the width and the other the length. If you don't get a real number solution, then a rectangle of that area with the given perimeter does not exist.

Hint: Your quadratic factors, but it will probably take a bit of skull work to find the factors. You'll probably find your answers more quickly if you use the quadratic formula.

John

My calculator said it, I believe it, that settles it