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The area of a square with perimeter equal to 64
[#permalink]
18 Oct 2021, 05:12
18 Oct 2021, 05:12
1
Expert Reply
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Question Stats:
96% (00:52) correct
4% (00:45) wrong based on 25 sessions
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Quantity A |
Quantity B |
The area of a square with perimeter equal to 64 |
The area a circle with diameter equal to 18 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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Re: The area of a square with perimeter equal to 64
[#permalink]
19 Oct 2021, 09:01
19 Oct 2021, 09:01
1
Carcass wrote:
Quantity A |
Quantity B |
The area of a square with perimeter equal to 64 |
The area a circle with diameter equal to 18 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
QUANTITY A: The area of a square with perimeter equal to 64
The perimeter is comprised of four equal sides.
So, the length of one side = 64/4 = 16
Area of square = side² = 16² = 256
QUANTITY B: The area a circle with diameter equal to 18
The diameter = 18, then the radius = 18/2 = 9
Area of circle = (pi)(radius²) = (pi)(9²) ≈ (3.14)(81) ≈ 254.34
Answer: A
gmatclubot
Re: The area of a square with perimeter equal to 64 [#permalink]
19 Oct 2021, 09:01
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