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How to Find Area of Square? Formula to Calculate Area with Examples

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 article which is well presented by the expertise team members of recruitmentresult.com and practice accordingly.

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

 We hope the above provided stuff in concern of How to Find Area of Square will be beneficial for your, candidates having any query must comment in the below tuned comment box, our experts of recruitmentresult.com will surely solve it as soon as possible.

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