Question

One side of a triangular flag is 3 more than 4 times the third side. The second side of the flag is 8 less than the third side. Find an expression for the perimeter of the flag.

Answer 1

The answer to your question is P = 6z - 5

Explanation:

Data

One side = x

Second side = y

Third side = z

Perimeter of a triangle = One side + second side + third side

Process

1.- Write equations for each side

x = 4z + 3

y = z - 8

2.- Write the equation of the perimeter

Perimeter of the triangle = x + y + z

-Write the perimeter in terms of z

Perimeter of the triangle = (4z + 3) + (z - 8) + z

-Simplify

Perimeter of the triangle = 4z + 3 + z - 8 + z

= 6z - 5