Question

the measures of the sides of a triangle are 2x+3, 8x-4 and x^2. Write an expression that describes the perimeter of the triangle

Answer 1

Perimeter=

• Sum of sides
• x²+2x+3+8x-4
• x²+2x+8x+3-4
• x²+10x-1

Answer 2

`\textsf{Perimeter}=x^2+10x-1`

Explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Given sides of a triangle:

• 
  `2x + 3`
• 
  `8x - 4`
• 
  `x^2`

Therefore, to find the perimeter of the triangle, sum the given sides:

`\begin{aligned}\sf Perimeter & = (2x+3)+(8x-4)+x^2\\& = 2x+3+8x-4+x^2\\& = x^2 + 2x+8x+3-4\\& = x^2+10x-1\end{aligned}`