Question

The side lengths of a triangle are shown. A) Represent the perimeter of the triangle with an expression in simplest form. B) What is the perimeter if x = 4?

Answer 1

Explanation:

A) P = 12 + 5x + 3(4x - 2)

= 12 + 5x + 12x - 6

= 12 + 17x - 6

= 17x + 6

B) P = 17(4) + 6 = 68 + 6 = 74

Answer 2

A) 6 + 17x

B) 74

Explanation:

12+ 3(4x -2) + 5x Distribute the 3

12 + 3(4x) - (3)(2) + 5x

12 + 12x -6 + 5x Combine like terms

(12 -6) + (12x + 5x)

6 + 17x

x = 4

6+ 17x

6 + 17(4)

6 + 68

74