Question

The perimeter of the triangular park shown on the right is 16x - 2. What is the missing length?

Answer 1

The perimeter of a Triangle is the sum of three sides ; ie assuming k,l,m be the three sides of a triangle means then k+l+m = perimeter of a triangle.

here given that a two sides lengths are 2x+ 2 and 5x-4 ;

and the perimeter length is 16x-6;

let the unknown side be k;

therefore k + 2x+2 + 5x-4 = 16x-6;

resolving k + 7x-2 = 16x-6;

Ans:- k= 16x-6-7x+2 = 9x-4 ie the unknown length k is 9x-4