Question

Find the value of x for the given triangle or rectangle

Perimeter 34 in.

Short answer

Length of side of triangle is$x=9$ inches.

Step-by-step solution

Step-1- Using perimeter of triangle formula

We know Perimeter of triangle is equal to sum of all the three sides of triangle.

Therefore,

Perimeter of triangle = sum of all sides of triangle

Step-2-Calculating side of triangle 

On substituting values, we get

$\begin{array}{c}34=x+11+14\\ x+25=34\end{array}$

Step-3-Solving for value of x

Subtracting $25$on both sides, we get

$\begin{array}{c}x+25-25=34-25\\ x=34-25\\ x=9\end{array}$

Therefore,

Length of third side $=x=9$inch.