Question

For what value of x, the perimeter of shape is 77 cm.

Hint:Perimeter of any given shape is sum of its sides.In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary.

$\begin{gathered} \left( {x + 1} \right) + \left( {x + 2} \right) + \left( {2x + 2} \right) + \left( {2x + 1} \right) + \left( {x + 1} \right) = 77 \\ \Rightarrow 7x = 77 - 7 \\ \Rightarrow 7x = 70 \\ \Rightarrow x = 10cm \\ \end{gathered}$