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# Which of the following has the greatest value?

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
Which of the following has the greatest value?  [#permalink]

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26 Feb 2019, 01:15
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Difficulty:

25% (medium)

Question Stats:

80% (01:28) correct 20% (01:06) wrong based on 41 sessions

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Which of the following has the greatest value?

A. The area of a rectangle with length 11 and width 6
B. The area of a right triangle with base length 10 and height 10
C. The area of a square with diagonal $$8\sqrt{2}$$
D. The area of a circle with a radius of 5
E. The area of an equilateral triangle with a side of 12

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Re: Which of the following has the greatest value?  [#permalink]

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26 Feb 2019, 02:27
from given options ;max area would be of :
A. The area of a rectangle with length 11 and width 6 ; 66
B. The area of a right triangle with base length 10 and height 10 ; 50
C. The area of a square with diagonal $$8\sqrt{2}$$ ; 64
D. The area of a circle with a radius of 5 ; 78.5
E. The area of an equilateral triangle with a side of 12; 62.35

IMO D

Bunuel wrote:
Which of the following has the greatest value?

A. The area of a rectangle with length 11 and width 6
B. The area of a right triangle with base length 10 and height 10
C. The area of a square with diagonal $$8\sqrt{2}$$
D. The area of a circle with a radius of 5
E. The area of an equilateral triangle with a side of 12
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Re: Which of the following has the greatest value?  [#permalink]

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01 Mar 2019, 10:59
Bunuel wrote:
Which of the following has the greatest value?

A. The area of a rectangle with length 11 and width 6
B. The area of a right triangle with base length 10 and height 10
C. The area of a square with diagonal $$8\sqrt{2}$$
D. The area of a circle with a radius of 5
E. The area of an equilateral triangle with a side of 12

We can analyze each answer choice and compare:

A) 11 x 6 = 66

B) 10^2/2 = 100/2 = 50

C) 8^2 = 64

D) 5^2 x 3.14 = 25 x 3.14 = 78.5

E) (12^2√3)/4 = (144√3)/4 = 36 x 1.7 = 61.2

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Re: Which of the following has the greatest value?   [#permalink] 01 Mar 2019, 10:59
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