Question

Find the simplest expression for the perimeter of the triangular roof truss.

side 1: 3a+4

side 3: 2a-7

side 2: 9a+11

Answer 1

perimeter of triangle = all sides added up
3a + 4 + 2a - 7 + 9a + 11

now add like terms
3a + 2a + 9a = 5a + 9a = 14a

4 - 7 + 11
= -3 + 11 = 8

so we have 14a + 8
as our simplest expression