Question

Triangle DEC is an equilateral triangle. Side DE is 6x, and the perimeter of the triangle is 252 inches. What is the value of x?

a) 6
b) 7
c) 8
d) 9

Answer 1

The value of x in an equilateral triangle with a side length of 6x and a perimeter of 252 inches is 14.

Step-by-step explanation:

Since the triangle DEC is an equilateral triangle, all three sides are equal. Let's denote the length of each side as 's'.

The perimeter of the triangle is given as 252 inches, so 3s = 252. Solving for 's', we find s = 84 inches.

Now, we are given that one side of the triangle is 6x. Since all sides are equal, we have 6x = 84. Dividing both sides by 6, we get x = 14.

Therefore, the value of x is 14, so the correct answer is d) 14.