Question

The sides of a triangle are 3x + 2.6x - 1 and 7 - x. Express the perimeter if the triangle in the terms of x

Answer 1

The perimeter of the triangle expressed in terms of x, with given sides 3x, 2.6x - 1, and 7 - x, is P = 4.6x + 6.

Step-by-step explanation:

The question asks to express the perimeter of a triangle in terms of x given the sides of the triangle are 3x, 2.6x - 1, and 7 - x. The perimeter is the sum of all the sides of the triangle.

To find the perimeter, you simply add all the side lengths together:

• First side: 3x

• Second side: 2.6x - 1

• Third side: 7 - x

Perimeter, P = 3x + (2.6x - 1) + (7 - x)

Combine like terms:

P = 3x + 2.6x - 1 + 7 - x

P = (3x + 2.6x - x) + (7 - 1)

P = (4.6x) + 6

So, the perimeter of the triangle in terms of x is P = 4.6x + 6.