Question

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

Answer 1

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.

Complete step-by-step answer:
Since, Perimeter of any given shape is the sum of its sides.
Given that,
Perimeter of the shape = 77 cm
Therefore, we have
$\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} $
Hence the required value of x is 10 cm for which perimeter is 77 cm.

Note:While calculating, always try to keep variables on the left side of the equation and constants on the other side of the equation.Perimeter gives the distance around the outside of a shape. Perimeter is found by adding together the length of all a shape's sides.