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Area and Perimeter

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.

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.
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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

Square

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

Boy

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.

Area of combining shapes

Example:

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

Boy

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:

Boy

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.

Did you know?

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