Solved Examples on Area and Perimeter

Let’s solve some exsmple probkems on the Area and Perimeter formulas of different shapes.

Example 1: Find the values of perimeter and area for rectangular park having length as 40 m and the breadth as 50 m.

Solution:

Given,

Length of rectangle, l = 40 m

Breadth of rectangle, b = 50 m

We know that,

Perimeter of rectangle = 2(l+b) = 2×(40+50) = 2 × 90 = 180 m.

Area of rectangle = l × b = 40 × 0 = 2000 m²

Thus,

Perimeter = 180 m. and Area = 2000 m²

Example 2: A circular running track has a radius of 7 meters. Find its circumference. Take π = 22/7.

Solution:

We have,

Radius, r = 7 m and Circumference of a Circle = 2πr

Therefore,

Circumference = 2 × (22/7) × 7 = 44 meters

Thus, circumference of the circular track comes out to be 44 meters.

Example 3: The opposite sides of a parallelogram have values as 12 units and 8 units. Find the value of its perimeter.

Solution:

We know that,

Perimeter of parellelogram = 2 × (Sum of opposite sides)

Thus,

Perimeter = 2 × (12+8) = 2 × 20 = 40 units

Area and Perimeter mostly relate to 2-dimensional shapes. By learning about the areas of 2D shapes, we can easily determine the surface areas of 3D bodies and perimeter helps us to know the length required to cover the boundary of any 2D closed shape.

In this article, we are going to learn how to find the Area and Perimeter of different shapes, with the help of solved examples.