Question

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 9 more than three times the length of the bottom of the triangle. The last side is 9 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle. What is the expression for the perimeter of the triangle?​

Answer 1

The perimeter of the triangle can be expressed as 5x + 18.

Explanation:

Perimeter of an object is the sum of the length of its sides.

For the required triangle, we have;

length of the base = x

length of the second side = 3x + 9

length of the third side = x + 9

Perimeter of the triangle = length of the base + length of the second side + length of the third side

= x + (3x + 9) + (x + 9)

= x + 3x + 9 + x + 9

= 5x + 18

The perimeter of the triangle can be expressed as 5x + 18.