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What is the area of a square with perimeter P ?

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Math Expert
Joined: 02 Sep 2009
Posts: 51281
What is the area of a square with perimeter P ?  [#permalink]

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03 Aug 2018, 02:54
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:27) correct 6% (00:21) wrong based on 33 sessions

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What is the area of a square with perimeter P ?

(A) 16P^2
(B) 4P
(C) P^2/4
(D) P/16
(E) P^2/16

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Re: What is the area of a square with perimeter P ?  [#permalink]

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03 Aug 2018, 03:08
Bunuel wrote:
What is the area of a square with perimeter P ?

P = 4S
S = P/4

A = S^2 = ( P/4)^2 = P^2 / 16

Hence, E.
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Re: What is the area of a square with perimeter P ?  [#permalink]

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03 Aug 2018, 03:09
Let's assume that the side of the square is 2
Then P=4*2=8
Area=$$2^2$$=4

$$\frac{p^2}{16}$$=$$\frac{8^2}{16}$$=4

IMO
Ans: E
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Re: What is the area of a square with perimeter P ?  [#permalink]

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04 Aug 2018, 01:48
Bunuel wrote:
What is the area of a square with perimeter P ?

(A) 16P^2
(B) 4P
(C) P^2/4
(D) P/16
(E) P^2/16

Perimeter of square = the sum of all the sides

length of a side of the square = p /4

Area of the square = $$(p / 4)^2 = p^2 / 16$$
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What is the area of a square with perimeter P ?  [#permalink]

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04 Aug 2018, 06:52
Bunuel wrote:
What is the area of a square with perimeter P ?

(A) 16P^2
(B) 4P
(C) P^2/4
(D) P/16
(E) P^2/16

Sides of the Square are $$\frac{P}{4}$$

Area of the Square is $$(\frac{P}{4})^2$$ = $$(\frac{P^2}{16})$$, Answer must be (E)
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What is the area of a square with perimeter P ? &nbs [#permalink] 04 Aug 2018, 06:52
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