Area

Area of Rectangle for Class 5 Maths

In mathematics, the area of the rectangle refers to the area that is covered by the rectangle. Here students will learn to find the area of a rectangle.

In this learning concept, the students will learn to

• classify the area of squares.
• Identify the unit of area.
• Evaluate the area of combined shapes.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the area of rectangle worksheet for class 5 and check the solutions for the area of rectangle question provided in PDF format.

 What Is Area?

• The area is defined as the space occupied by the flat surface of a particular shape.
• Let us learn how to find the area of rectangle and square.

 Area of Rectangle:

• A rectangle has two dimensions namely length and breadth.
• The formula to calculate the area of the rectangle is Area = Length × Breadth
• The unit of the area is square unit.

Example:

Find the area of the rectangle with a length of 20 cm and a breadth of 12 cm.

Solution:

Length of the rectangle = 20 cm

Breadth of the rectangle = 12 cm

Area of the rectangle = 20 cm × 12 cm

             = 240 square cm

Area of Square:

• All sides of the square are equal in length.
• The formula to calculate the area of the square is

         Area = Side × Side

Example:

Find the area of a square with a side of 9 cm.

Solution:

Side of the square = 9 cm

Area of the square = 9 cm × 9 cm

            = 81 square cm

Unit of Area

• Area is the product of length and breadth which is in linear units.
• When the area of the rectangle is calculated then it has to be made sure that the unit of the length and breadth are the same.
• When we multiply two same linear units, we get the square unit.
• Therefore, the area is always measured in a square unit.
• For example, the area of the rectangle with length and breadth of 15 m and 12 m is 180 square m.

How to Find Area of Combined Shapes

Example:

Four squares on each side 4 m are combined together to get a rectangle. Find the area of the resultant rectangle.

Solution:

Step 1:

The side of the square = 4 m

Area of the square = 4 m × 4 m = 16 square m

Step 2:

Number of squares = 4

Area of each square = 16 square m

Area of 4 squares = (16 × 4) = 64 square m

Alternate Way:

The length of the resultant rectangle = (4 + 4 + 4 + 4) m = 16 m

The breadth of the resultant rectangle = 4 m

Area of the resultant rectangle = 16 m × 4 m

                 = 64 square m

Common Mistakes

Children often overlooked the units of length and breadth.

For example:

Calculate the area of the rectangle of the length of 12 m and breadth of 250 cm.

Wrong solution:

Length of rectangle = 12 m

Breadth of rectangle = 250 cm

Area = (12 × 250) = 3,000 square m.

Correct solution:

Length of rectangle = 12 m

Breadth of rectangle = 250 cm

We know 1 m = 100 cm.

Therefore, 250 cm = (250 ÷ 100) = 2.5 m.

Area = 12 m × 2.5 m = 30 square m.

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