Question

The perimeter of the triangular park on the right is 16x-6. What is the missing length? The bottom side length is 5x+4 and the right most side is 2x-5

Answer 1

`(9x-5)\ units`

Explanation:

The picture of the question in the attached figure

we know that

The perimeter of a triangle is the sum of the length of their three sides

so

`P=a+b+c`

where

a,b,c are the length sides of the triangle

In this problem we have

`P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units`

substitute and solve for the missing length

`(16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units`