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GRE Math Challenge #118-A rectangular field is 400 feet long

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sandy
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GRE Math Challenge #118-A rectangular field is 400 feet long [#permalink] New post   15 May 2015, 11:59
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A rectangular field is 400 feet long and 300 feet wide. If a square field has, the same perimeter as the rectangular field, what is the length, in feet, of each side of the square field?

(A) 175
(B) 350
(C) 200 \(\sqrt{2}\)
(D) 350 \(\sqrt{2}\)
(E) 100 \(\sqrt{3}\)
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B
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GreenlightTestPrep
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Re: GRE Math Challenge #118 [#permalink] New post   16 May 2015, 15:06
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sandy wrote:
A rectangular field is 400 feet long and 300 feet wide. If a square field has, the same perimeter as the rectangular field, what is the length, in feet, of each side of the square field?

(A) 175
(B) 350
(C) 200 \(\sqrt{2}\)
(D) 350 \(\sqrt{2}\)
(E) 100 \(\sqrt{3}\)


Perimeter of the rectangular field = 400 + 300 + 400 + 300 = 1400
This means the perimeter of the SQUARE field = 1400
A square has 4 sides of EQUAL length.
So, each side of the square must have length = 1400/4 = 350

Answer:
Show: ::
B


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Re: GRE Math Challenge #118-A rectangular field is 400 feet long [#permalink] New post   07 May 2021, 11:06
Perimeter of rectangle = (400+300)*2 = 1400
Perimeter of square = 4a

4a = 1400
a = 1400/4 = 350

Hence, option (B) is the correct answer.
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Re: GRE Math Challenge #118-A rectangular field is 400 feet long [#permalink] New post   09 Apr 2023, 22:26
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Re: GRE Math Challenge #118-A rectangular field is 400 feet long [#permalink]
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