SOLUTION: The perimeter of a square is 100 cm. The area is 25. What polynomial represents the given data?

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Question 1121378: The perimeter of a square is 100 cm. The area is 25. What polynomial represents the given data?
Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Perimeter is

Half the perimeter is

Hence

Area is

Substituting:



You can put it into whatever form you like.

By the way, Jogsarithmetic is right, you don't have a square, you have a rectangle. A square with a perimeter of 100 has an area of 625, not 25.


John

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

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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The perimeter of a square is 100 cm. The area is 25. What polynomial represents the given data?
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Question seems a little strange.


x, the sidelength of the square

system%284x=100%2Cx%5E2=25%29

No correct polynomial for this description --
Perimeter equation means x=25.
Area equation means x=5.
They both cannot be.

Note that the description gave "square". If it were instead, 'rectangle', then something can easily be done.