Question

Design An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 12 more than three times the length of the

bottom of the triangle. The last side is 4 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answer 1

`P_t=5x+16`

Explanation:

The perimeter of the triangle will be the sum of all the sides,

`P_t=a+b+c`

For this problem, let a=x, b=3x+12, and c=4+x. So,

`P_t=(x)+(3x+12)+(4+x)\\P_t=x+3x+12+4+x\\P_t=x+3x+x+12+4\\P_t=5x+16`