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# Which of the following expresses the area of a square region in terms

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Which of the following expresses the area of a square region in terms  [#permalink]

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25 Feb 2019, 02:49
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Difficulty:

25% (medium)

Question Stats:

78% (00:46) correct 22% (01:19) wrong based on 41 sessions

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Which of the following expresses the area of a square region in terms of its perimeter p?

A. p/4
B. p^2/4
C. p/16
D. p^2/16
E. 32/p

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Re: Which of the following expresses the area of a square region in terms  [#permalink]

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25 Feb 2019, 03:04
Bunuel wrote:
Which of the following expresses the area of a square region in terms of its perimeter p?

A. p/4
B. p^2/4
C. p/16
D. p^2/16
E. 32/p

*** A square has legs that are equal in length .

p/4 = length of a leg

Area = $$(p/4)^2$$

= $$p^2 / 16$$

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Which of the following expresses the area of a square region in terms  [#permalink]

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25 Feb 2019, 03:05
Perimeter of square (sum of all sides) = 4s, where s is the measure of one side.

Hence, p = 4s
p/4= s
Area of square = s^2
(p^2)/16

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Re: Which of the following expresses the area of a square region in terms  [#permalink]

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25 Feb 2019, 10:43
Which of the following expresses the area of a square region in terms of its perimeter p?

A. p/4
B. p^2/4
C. p/16
D. p^2/16
E. 32/p

let side of the square be a and perimeter=p
so a=p/4, so area= a^2, so area=(p*p)/4*4

Option D is correct.
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Re: Which of the following expresses the area of a square region in terms  [#permalink]

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02 Mar 2019, 10:09
Bunuel wrote:
Which of the following expresses the area of a square region in terms of its perimeter p?

A. p/4
B. p^2/4
C. p/16
D. p^2/16
E. 32/p

Since the perimeter of the square is p, each side is p/4. Thus, the area is:

(p/4)^2 = p^2/16

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Re: Which of the following expresses the area of a square region in terms   [#permalink] 02 Mar 2019, 10:09
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