Expression Question

Question

How do i write an expression to represent the perimeter of the triangle in terms of side a when the length of side c is one less than twice the length of side a and side b is four more than the length of side c?

Answer 1

Hi, Jolette.

Okay, so the perimeter is the sum of all three sides...a + b + c.

Side C is one less than twice the length of side a , so

c = 2a - 1

And Side b is 4 more than the length of side c, so

b = c + 4

Therefore,

a + b + c =

a + (c + 4) + (2a - 1)

and since c = 2a - 1, then substitute it in the above equation to get the perimeter in terms of a:

P = a + (2a - 1) + 4 + 2a - 1

P = 5a + 2

P = 5a + 2