If the perimeter of a square is x, what is the area of the square, in

Question

If the perimeter of a square is x, what is the area of the square, in terms of x?

A. x/16

B. x/4

C. x^2/16

D. x^2/4

E. x^2/2

PKN · Answer

Given perimeter of square =x
Implies that measure of side of square= \frac{x}{4}

So, area of square= (\frac{x}{4})^2=\frac{x^2}{16}

Ans. (C)

Abhishek009 · Answer

There exists a cute little formula

A = \frac{p^2}{16}   { Where A = Area of Square and p = Perimeter of Square }

So,  Area = \frac{x^2}{16} , Answer must be (C)

JeffTargetTestPrep · Answer

Letting s = the side of the square, we can use the equation:

4s = x

s = x/4

So the area of the square is (x/4)^2 = x^2/16.

Answer: C

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