so what is OA?
I would say that both are sufficient together and neather is sufficient alone...
Rectangle
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Source: Beat The GMAT — Data Sufficiency |
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Lattefah84
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ajith
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mmslf75 wrote:Is the surface area of a rectangular pool larger than 1000 square feet?
(1) The pool measures fifty feet diagonally.
(2) One side of the pool measures twenty five feet.
OA is C
why not A ?
Say the sides of the rectangle are a and b
the area of the pool = a*b
1) sqrt(a^2+b^2) = 50
2) a = 25
1 is not sufficient, nor is 2
but combining 1&2 ,we can find out b and a*b hence C
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ajith
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the maximum area that a rectangle with diagonal measuring 50 feet is when it is square with side = 50/sqrt(2)mmslf75 wrote:Is the surface area of a rectangular pool larger than 1000 square feet?
(1) The pool measures fifty feet diagonally.
why noit A ?
The area = side ^2 = 50*50/2 = 1250
It is above 1000 Sqft
had it been below 1000 we could have concluded that no pond can have area more than 1000 feet and we could have chosen A as sufficient.
[ say if the sides were sqrt(2450) and sqrt(50), the diagonal will be measuring 50 feet but the area is only sqrt(2 450) * sqrt(50) = 350 ]
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