The equilateral triangle has sides of $2 x$ and $x+15$ as shown. The perimeter of the triangle is
(A) 15
(D) 45
(B) 30
(E) 60
(C) 90

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-100.jpg?height=192&width=255&top_left_y=2040&top_left_x=1423)
The equilateral triangle has sides of $2 x$ and $x+15$ as shown. The perimeter of the triangle is
(A) 15
(B) 30
(C) 90
(D) 45
(E) 60

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-452.jpg?height=287&width=368&top_left_y=217&top_left_x=1388)

## Solution

Since we are told the triangle is equilateral, $2 x=x+15$, or $x=15$.

This makes the side length 30 and the perimeter 90 .

ANSWER: (C)