An equilateral triangle has area X while a square has an area of Y. The perimeters of both are equal. Which of the following is true?

Options
- X = Y
- X > Y
- X < Y
- None of these

CORRECT ANSWER : X < Y

Discussion Board
Explanation

Given:
Area of equilateral triangle = X
Area of square = Y
Perimeter of equilateral triangle = Perimeter of square


Solution:
Lets assume side of equilateral triangle = m and side of square = n

Perimeter of equilateral triangle = 3m
Perimeter of square = 4n
Therefore,
3m = 4n

n = 3m/4 ------ (1)

We know that,
Area of equilateral triangle = X = [Sqrt(3)/4]m2 = 0.433m2 ------ (2)
Area of square = Y = n2
Substitute value of n from (1), we get

Y = (9m2)/16 = 0.5625m2 ----- (3)

From (2)and (3),

0.433m2 < 0.5625m2

Hence, X < Y

Sravanthi 03-1-2016 05:22 AM

Math

Area of Triangle will be: 4/9*Y^2 and Area of square will be Y^2. So X>Y.

Arpitha 02-28-2016 04:55 PM

3X = 4Y;X = 4/3Y;

3X = 4Y;X = 4/3Y;
X>Y;

Bruce 02-21-2014 01:01 AM

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