Question

The triangles shown have the same perimeter. What is the value of x?

x + 3
x + 3
X +3
2X-3
x + 3
х

Answer 1

x = 9

Explanation:

The perimeter of the first triangle is x + 3 + x + 3 + x + 3 = 3x + 9 and the perimeter of the second triangle is x + 3 + 2x - 3 + x = 4x. We know that the perimeters are equal, therefore, we can write the following equation:

3x + 9 = 4x

x = 9