What is the perimeter of a square with area 9p^2/16 ?

Question

A. 3p/4
B. 3p^2/4
C. 3p
D. 3p^2
E. 4p/3

hsambiguity · Answer

What is the perimeter of a square with area 9p^2/16 ?

Area of square, (side)^2 = (3p/4)^2

Therefore side of the square = 3p/4
Perimeter of square = 4*side = 4* (3p/4) = 3p
 
Answer is C.

EMPOWERgmatRichC · Answer

Hi All,

We're told that the area of a SQUARE is (9P^2)/16. We're asked for the PERIMETER of the square. This question can be solved by TESTing VALUES.

Since the denominator is 16, we can 'cancel' it out if we make P=4...

IF... P=4, then the area of the square is 9(16)/16 = 9. This means that each side of the square = 3. Thus, we're looking for an answer that equals 4(3) = 12 when we plug P=4 into the answer choices. There's only one answer that matches...

Final Answer:  C

GMAT assassins aren't born, they're made, 
Rich

generis · Answer

Find  s .

Area of square =  s^2 = \frac{9\pi^2}{16}

\sqrt{s^2} = \frac{(\sqrt{9})*(\sqrt{\pi^2})}{\sqrt{16}}

s= \frac{3\pi}{4}

Perimeter =  4s=(\frac{3\pi}{4})*4 = 3\pi

Answer C

vamsihbs · Answer

Area = 9p^2/16
So a^2 = 9p^2/16 ( assumed side of a square as a)

So a = 3p/4 
And perimeter of square is sum of all sides 
So perimeter = 4a
 
So ans is 4(3p/4) = 3p

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EgmatQuantExpert · Answer

We know that the area of square = (side)^2

Thus, we can write :
 (Side)^2 = \frac{9p^2}{16}

(Side)^2 = (\frac{3p}{4})^2

Since the side of square is always positive, we can conclude that the length of each side  = \frac{3p}{4}

And the perimeter of the square  = 4 * side = 4 * \frac{3p}{4} = 3p

The correct answer is   Option C  .

ScottTargetTestPrep · Answer

Since a side of the square is equal to √(9p^2/16) = 3p/4, then the perimeter of the square is 4 x 3p/4 = 12p/4 = 3p.

Answer: C

What is the perimeter of a square with area 9p^2/16 ?

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GMAT Problem Solving (PS) Questions

What is the perimeter of a square with area 9p^2/16 ?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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