Area of a Square

In area of a square we will learn how to find the area by counting squares.
To find the area of a region of a closed plane figure, we draw the figure on a centimeter squared paper and then count the number of squares enclosed by the figure.

We know, that square is a rectangle whose length and breadth are equal. in a square all four sides are equal.

Therefore, area of a square = (side × side) square units = (side)^2 square units.

Look at the above figure. You can see that the area of a square having sides 2 cm each is equal to the area of 4 squares of sides 1 cm each = 4 cm^2. It can also be expressed as 2 cm × 2 cm = 4 cm^2. Area of a square is 2 times of its each side.

Solved examples to find the area of a square when side is given:

1. Find the area of a square of side 8 cm.

Area of a square = length (l) × length (l)

                       = 8 × 8 sq. cm.

                       = 64 sq. cm.

2. Find the area of a square of side 11 m.

Area of a square = length × length

                       = 11 × 11 sq. m.

                       = 121 sq. m.

3. Find the area of a square of side 49 cm.

Area of a square = length × length

                       = 49 × 49 sq. cm.

                        = 2401 sq. cm.

4. Find the area of a square of side 50 m.

Area of a square = length × length

                       = 50 × 50 sq. m.

                       = 2500 sq. m.


Area of a Rectangle.

Area of a Square.

To find Area of a Rectangle when Length and Breadth are of Different Units.

To find Length or Breadth when Area of a Rectangle is given.

Areas of Irregular Figures.

To find Cost of Painting or Tilling when Area and Cost per Unit is given.

To find the Number of Bricks or Tiles when Area of Path and Brick is given.

Worksheet on Area.

Worksheet on Area of a Square and Rectangle

Practice Test on Area.

5th Grade Geometry

5th Grade Math Problems

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