Question

The perimeter of the triangle below is 84 units. Find the length of side WX. WX=

Answer 1

We are told that the perimeter of the triangle is 84.

Perimeter means distance around a plane shape. So, all the sides of the triangle should add up to 84. That is

`4x+x+1+3x+3=84`

Solving for x, we have

`\begin{gathered} 4x+x+1+3x+3=84 \\ \text{collecting like terms } \\ 4x+x+3x=84-1-3 \\ 8x=80 \\ \text{dividing both sides by 8, we have } \\ (8x)/(8)=(80)/(8) \\ x=10 \end{gathered}`

So, x = 10. Then

`\begin{gathered} WX=x+1 \\ WX=10+1 \\ WX=11 \end{gathered}`

Therefore, WX = 11