Question

Find the perimeter of the given figure:

Answer 1

Hint: For the above figure perimeter is the sum of all sides. So, the Perimeter of a regular hexagon is given by $P = 6 \times l$, where P is the Perimeter and l are the length of the side of the regular hexagon.

Complete step-by-step answer:

Given figure is a regular hexagon with each side length 24 cm.

We have to find the Perimeter of the regular hexagon, the Perimeter is the sum of all sides, so it is given by-

$
  P = l + l + l + l + l + l \\
  P = 6 \times l \\
$

Here, P is the Perimeter and l are the length of each side of the hexagon.

Now, given in the question, the length of each side is 24 cm. Put in the equation $P = 6 \times l$, we get
$
  P = 6 \times 24 \\
  P = 144cm \\
$

Hence the Perimeter of the given figure is 144cm.

Note: To find the perimeter of any figure, find the sum of all sides. In this question, a regular hexagon is given, since a regular hexagon has 6 sides of equal length, so Perimeter will be given by $P = l + l + l + l + l + l$, which is equal to $P = 6 \times l$, the Perimeter formula for a regular hexagon. Put the value of the length of the side in the formula and find the value of the perimeter of the hexagon.