Question

Geometry Find the value of x for the given triangle, rectangle or square.

Perimeter = 22 units

Short answer

The value of x is 8.

Step-by-step solution

Step-1 – Given

Perimeter =22 units, length of each sides are$x,x+1,5.$

Step-2 – To determine

We have to find the value of the x for the given triangle.

Step-3 – Calculation

The equation of the perimeter will be,

$x+(x+1)+5=22$

$\begin{array}{l}x+(x+1)+5=22\\ x+x+1+5=22\\ 2x+6=22\left[\text{combineliketerms}\right]\\ 2x+6-6=22-6\left[\text{subtract6fromeachside}\right]\\ 2x=16\\ 2x÷2=16÷2\left[\text{divideeachsideby2}\right]\\ x=8\end{array}$

Hence, the required value of x is 8.