Chapter SH, Problem 2.13EP

To determine

To calculate the value of $x$

Answer to Problem 2.13EP

  $x=4$

Explanation of Solution

Given information:

Two figures with dimension

Formula used:

Perimeter of hexagon $=6\times sides$

Perimeter of triangle= $side+side+side$

Calculation: calculating perimeter of hexagon

  $=6(x+2)$

Solving it further

  $=6x+12$

Calculating Perimeter of triangle

  $2x+12+3x-4+2x$

Solving it further

  $7x+8$

Now, if figures have same perimeter, then

  $6x+12=7x+8$

Calculating the final answer

  $x=4$