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

Question

asked Sep 28, 2021 66.1k views

1 Answer

Abu Sayem · Answer 1 · 2021-10-02T08:58:23+0000

Answer:

$(9x-5)\ units$

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

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