Mathematics

Grade6

Easy

Question

# Find the perimeter of the triangle where the lengths are 3x, 4x and 5x.

- 12x
- 14x
- 15x
- 2x

Hint:

### In this question, we are given three terms, which mean three sides of a triangle. We are asked to find the perimeter of the triangle. Perimeter means the length of the boundary of the given shape. We have to find the right operation between the given terms to find the perimeter of the triangle.

## The correct answer is: 12x

### The given values for the sides of the triangle are 3x, 4x and 5x.

We have to find the perimeter of a triangle. We know that perimeter means the total length of the boundary of the shape. As a triangle has three sides, we will have to add them to get the length of complete boundary, or in other words a perimeter.

The formula for the perimeter of a triangle will be

Perimeter = sums of all sides

For this question, the values of sides are 3x, 4x and 5x

Therefore, the perimeter will be

Perimeter = 3x + 4x +5x

As there are three terms with the same variable, we can add them directly like normal numbers.

On adding we get

Perimeter = 12x units.

Therefore, the perimeter of the triangle will be 12x units.

So option (c), which is ‘12x’, is the right option.

The main part of such questions to find the correct relation between the variables. For that, we need to remember the formulas of area and perimeter of shapes.