Question

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

Perimeter = 104 units

Short answer

The value of x is 15.

Step-by-step solution

Step-1 – Given

Perimeter = 104 units, length of each side are $x+11$.

Step-2 – To determine

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

Step-3 – Calculation

The equation of the perimeter will be $4(x+11)=104$

$\begin{array}{l}4(x+11)=104\\ 4x+44=104\left[\text{distributiveproperty}\right]\\ 4x+44-44=104-44\left[\text{subtract44fromeachside}\right]\\ 4x=60\\ 4x÷4=60÷4\left[\text{divideeachsideby4}\right]\\ x=15\\ \end{array}$

Hence, the required value of x is 15.