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by [email protected] » Sun Mar 17, 2013 9:01 pm
Is the perimeter of square iS greater than the peremeter of equilateral triangle T
1) The ratio of the length of a side of T is 4:5

2) The sum of the lengths of side of S and a side of T is 18
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by Anju@Gurome » Sun Mar 17, 2013 9:04 pm
[email protected] wrote:Is the perimeter of square S greater than the perimeter of equilateral triangle T?

1) The ratio of the length of a side of S to the length of a side of T is 4:5
2) The sum of the lengths of side of S and a side of T is 18
Let each side of square = s and each side of triangle = t
Then perimeter of square = 4s and perimeter of triangle = 3t
We need to find out whether 4s > 3t or not.

Statement 1: The ratio of the length of a side of S to the length of a side of T is 4:5
s : t = 4 : 5 or s = 4t/5
Perimeter of square = 4s = 4 * (4t/5) = 16t/5, which is definitely greater than 3t (perimeter of triangle)

Sufficient

Statement 2: The sum of the lengths of a side of S and a side of T is 18 implies s + t = 18
But there can be many such combinations when s + t = 18

Not sufficient.

The correct answer is A.
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