Question

Find the perimeter of a regular pentagon of side 12 cm.

Answer 1

Hint:Mathematics includes the study of topics which are related to quantity, structure, space and change. To specify a figure most fundamental quantities are perimeter, area and volume. Perimeter can be defined as the total length of the boundary of a geometrical figure. By using this definition, we can easily solve our problem.

Complete step-by-step answer:
Mathematics is related to all the phenomena occurring in the world. When mathematical structures are good models of real phenomena mathematical reasoning can be used to provide insight or predictions about nature. In geometrical mathematics, deal with study of various shapes and their related properties. A figure having all the sides equal is known as a regular figure. The Pentagon is a figure of five sides.

As per our question, we have a regular pentagon of side 12 cm. So, all the sides of the Pentagon are 12 cm. Perimeter is defined as the sum of all the sides required to enclose a figure. So, the perimeter of a regular pentagon 5 times the measurement of one side for a regular pentagon. Mathematically,
$Perimeter=5\times a$ where $a$ is the dimension of side.
So, putting the value of side, $5\times 12=60cm$.
Hence, the perimeter of a regular pentagon of side 12 cm is 60 cm.

Note: The key concept in solving this problem is the knowledge of shapes according to their name. Also, the knowledge of the perimeter of any geometrical figure plays an important role in solving the question. Strong emphasis on the word regular must be enforced to avoid errors.