Question

What is the area, in square yards, of an equilateral triangle with a perimeter of 45 yards?

A: 225[sqr]3[/sqr] / 4
B: 125[sqr]3[/sqr] / 2
C: 225[sqr]3[/sqr] / 2
D: 125[sqr]3[/sqr] / 4

Answer 1

Answer: A: 225[sqr]3[/sqr] / 4

Explanation:

To find the area of the equilateral triangle, we need to use the formula:

Area = (s^2 * sqrt(3))/4

Where s is the length of each side of the equilateral triangle.

Since the perimeter of the triangle is 45 yards and there are three sides of equal length, each side is 15 yards long.

Substituting s = 15 into the formula, we get:

Area = (15^2 * sqrt(3))/4 = 225*sqrt(3)/4

Therefore, the area of the equilateral triangle is 225[sqr]3[/sqr] / 4.