Question

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

Perimeter = 40 units

Short answer

The value of x is 11.

Step-by-step solution

Step-1 – Given

Perimeter = 40 units

Length = 7 units and width = units

Step-2 – To determine

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

Step-3 – Calculation

The equation of the perimeter will be,

$2[7+(x+2)]=40$

$\begin{array}{l}2[7+(x+2)]=40\\ 2(7+x+2)=40\left[\text{combineliketerms}\right]\\ 2(x+9)=40\\ 2x+18=40\left[\text{evaluatepower}\right]\\ 2x+18-18=40-18\left[\text{subtract18fromeachside}\right]\\ 2x=22\\ 2x÷2=22÷2\left[\text{divideeachsideby2}\right]\\ x=11\end{array}$

Hence, the required value of x is 11.