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A rectangular field is 400 feet long and 300 feet wide. If a square fi

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A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

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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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Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

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New post 18 Jul 2018, 00:03
Perimeter of Rectangular field is 2(length+width) i.e 1400.
Similarly perimeter of square is 4×side of sq.
Therefore side =1400/4
=350.

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Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

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New post 18 Jul 2018, 00:11
+1 for B.

Given,
Perimeter of Rectangular field = Perimeter of Square field
2(L + W) = 4*L
1400 = 4*L
L =1400/4
=350

Hence, B.
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Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

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New post 18 Jul 2018, 00:14
Perimeter of Square= Perimeter of rectangle
4s= 2(400+300) (s= side of square)
4s= 2*700= 1400
s= \(\frac{1400}{4}\)= 350

Answer: B.
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A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

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New post 18 Jul 2018, 00:21
Bunuel 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 : 2*400 + 2*300 =1400

Perimeter pf the square field = 4x, where x is the leg of the square.

So, 4x = 1400

x= 350.

The best answer is B.
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Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

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New post 18 Jul 2018, 02:34

Solution



Given:

    • A rectangular field is 400 feet long and 300 feet wide.
    • A square field has the same perimeter as the rectangular field.

To find:

    • The length, in feet, of each side of the square field.

Approach and Working:

    • Perimeter of rectangular field= 2(400+300)= 1400
    • Let side length of the square is ‘a’ feet. Then.
      o 4a= 1400= 14*100
      o a=14*25= 350

Hence, the correct answer is option B.

Answer: B
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Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

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New post 18 Jul 2018, 07:13
Bunuel 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) \(100 \sqrt{3}\)


\(2(l+b) = 4a\)

Or, \(a = \frac{( l + b)}{2}\)

So, Each side of a square is \(\frac{400 + 300}{2} = 350\) , Answer must be (B)
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Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi  [#permalink]

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New post 22 Jul 2018, 17:08
Bunuel 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) \(100 \sqrt{3}\)


If we let s = a side of the square field, then the perimeter of the square field is 4s. The perimeter of the rectangular field is 2(400) + 2(300) = 1400. Since the two fields have the same perimeter, we have:

4s = 1400

s = 350

Answer: B
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Re: A rectangular field is 400 feet long and 300 feet wide. If a square fi &nbs [#permalink] 22 Jul 2018, 17:08
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