[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.
