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

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Joined: 02 Sep 2009
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If the perimeter of a square is x, what is the area of the square, in  [#permalink]

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29 Aug 2018, 01:44
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15% (low)

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79% (00:27) correct 21% (01:05) wrong based on 46 sessions

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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

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Re: If the perimeter of a square is x, what is the area of the square, in  [#permalink]

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29 Aug 2018, 02:07
Bunuel wrote:
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

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)
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If the perimeter of a square is x, what is the area of the square, in  [#permalink]

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29 Aug 2018, 07:42
Bunuel wrote:
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

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)
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Re: If the perimeter of a square is x, what is the area of the square, in  [#permalink]

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03 Sep 2018, 19:03
Bunuel wrote:
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

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.

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Re: If the perimeter of a square is x, what is the area of the square, in   [#permalink] 03 Sep 2018, 19:03
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