Area of Square

A square is a quadrilateral in which it has 4 equal sides and all the interior angles of a square are right angles. It is a closed two-dimensional plane figure.. 

Area of a Square = Side × side =   square units

Illustration : Find the area of a square of side length 15 m.

Solution:  Area of a square =

Illustration: A square lawn has a side that is 18m long. Find the area of the lawn.

Solution: As side of the square lawn = 18 m

hence, area of the square lawn =

Illustration: A square park is to be watered. If one side of the park is 4.2 m, find the area to be watered?

Solution: Given: Side of the park = 4.2 m

Hence, area of square park to be watered =

Illustration: A square tile is having the side of length 15 cm. How many such tiles would be required to cover the square floor of the bathroom of side 3 m?

Solution:  Length of the square tile = 15 cm

Hence, area of the square tile =

Also, the Side of square floor bathroom = 3 m

Hence, area of square floor bathroom  =

As area of square tile has units in cm but the units of area of square bathroom is in m.

Hence area of square bathroom in cm = 9 X 100 X 100

Now, the number of tiles required  =

Hence 400 tiles are required to cover the floor.