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# How to Find Area of Square

The square meters are the measurements of the area, which are generally used to measure flat grounds such as a field or floor. Check How to Find Area of Square from below tuned page. Candidates can check Formula to Calculate Area of Square with Examples from this page.

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Formula to Calculate Area

Side of the square = P/4 units

Area of the square = a × a = (P/4)² sq. units

Area of square = 1/2 × (diagonal)² sq. units

Length of the diagonal = √(a² + a²) = √(2a²^2) = a√2 units

## How to Find Area of Square?

• Well, a square is a regular polygon with four sides. It has four right angles and parallel sides.
• To calculate the area of a square, multiply the base by itself, which can be expressed as side × side.
• If a square has a base of length 8 inches its area will be 8 × 8= 64 square inches

Formula to Calculate Area, Perimeter, Circumference: Find Area of Circle

Practice With Area of the Square Examples

Example 1 Find the perimeter and area of a square of side 11 cm.

Solution:

We know that the perimeter of square = 4 × side

Side= 11 cm

Therefore, perimeter = 4 × 11 cm = 44 cm
Now, area of the square = (side × side) sq. units

= 11 × 11 cm²

= 121 cm²

Get Maths Vedic/Basic Formulas Free List: Maths Formulas

Example 2 The perimeter of a square is 52 m. Find the area of the square.

Solution:

Perimeter of square = 52 m
But perimeter of square = 4 × side
Therefore, 4 × side = 52 m
Therefore, side= 52/4 m = 13m
Now, the area of the square = (side × side)
Therefore, area of the square = 13 × 13 m² = 169 m².

Example 3 The area of a square is 144 m². Find its perimeter.

Solution:

Area of square = side × side
Given; area of square = 144 m²
Therefore, side² = 144 m²
Therefore, side = √(144 m²) = √(2 × 2 × 2 × 2 × 3 × 3) m² = 2 × 2 × 3 m = 12 m
Now, the perimeter of the square = 4 x side = 4 × 12 m = 48 m

Read Here: How to Prepare for Maths

Example 4 The length of the diagonal of a square is 12 cm. Find its area and perimeter.

Solution:

Diagonal of a square = 12 cm

Area of square = 1/2 (d)²

= 1/2 (12)²

= 1/2 × 12 × 12

= 72

Side of a square = √Area

= √72

= √(2 × 2 × 2 × 3 × 3)

= 2 × 3√2

= 6 × 1.41

= 8.46 cm

Perimeter of square = 4 × 8.46 = 33.84 cm

Example 5 The perimeter of a square courtyard is 144 m. Find the cost of cementing it at the rate of \$5 per m².

Solution:

Perimeter of square courtyard = 144 m
Therefore, side of the square courtyard = 144/4 = 36 m
Therefore, area of square courtyard = 36 × 36 m² = 1296 m²
For 1 m², the cost of cementing = \$5
For 1296 m², the cost of cementing = \$1296 × 5 = \$6480

For example, you can measure the footprints of a coach in square meters, then to see how it fits, can measure your meeting in square meters. If you have a ruler or measuring tape that uses other non-metric units, you can still assess the area, and then change it to square meters.

Also Get Here: Volume And Surface Area Questions And Answers

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