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

Question

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}

RidhimaGmat · Answer

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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sudarshan22 · Answer

+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  .

varun4s · Answer

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.

KSBGC · Answer

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.

EgmatQuantExpert · Answer

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

Abhishek009 · Answer

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)

ScottTargetTestPrep · Answer

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

warrior1991 · Answer

L=400
W=300

P(Rectangle)=2(400+300)=1400

P(Square)=P(Retangle)
4*s=1400
s=350

Therefore B

Abhishek009 · Answer

2*700 = 4a

Or,  a = 350 , Thus Answer must be (B)

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

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