Question

Find the perimeter of the following triangle

Answer 1

Hint: Here we are required to find the perimeter of the given triangle. We know that the perimeter of a triangle is defined as: Perimeter is the sum of all sides of a triangle.

Complete step-by-step answer:
We are given the figure of a triangle whose one side is of length 2 x, the second side is of the length 5 x and the third side is of the length 6 x. We need to find the perimeter of the given triangle.
Let us look at the figure:

We know that the perimeter of a triangle is the sum of all the sides of a triangle i.e.,
Perimeter of a triangle is given by P = a + b + c, where a, b, c are the sides of a triangle.
Here, in the given question, we are given a triangle whose sides are: a = 2 x
                                                                                                                           b = 5 x
                                                                                                                           c = 6 x
Perimeter of the given triangle will be P = (2 x + 5 x + 6 x) = 13 x
Therefore, the perimeter of the given triangle is found to be 13 x.

Note: In the questions where we are required to find the perimeter of any geometrical shape, we just add the length of the sides i.e., the distance of the boundary. For e.g., the perimeter of any polygon is the sum of its sides. The definition of the perimeter is the total length of the boundary or outline of the given shape.