Question

A triangle has side lengths of (1.3f+2.9g)(1.3f+2.9g) centimeters, (1.1f-7.7h)(1.1f−7.7h) centimeters, and (2.3h+1.5g)(2.3h+1.5g) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

Perimeter of the triangle = (2.4f+4.4g-5.4h) centimeters.

Explanation:

It is given that, a triangle has side lengths of (1.3f+2.9g) cm, (1.1f-7.7h)cm, and (2.3h+1.5g) cm.

We have to find the expression which represents the perimeter, in centimeters, of the triangle.

Perimeter of a triangle = Sum of its all the sides.

`Perimeter=(1.3f+2.9g)+(1.1f-7.7h)+(2.3h+1.5g)`

On combining like terms, we get

`Perimeter=(1.3f+1.1f)+(2.9g+1.5g)+(-7.7h+2.3h)`

`Perimeter=2.4f+4.4g+(-5.4h)`

`Perimeter=2.4f+4.4g-5.4h`

Therefore, the perimeter of the triangle is (2.4f+4.4g-5.4h) centimeters.