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.
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.
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
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Example 2 The perimeter of a square is 52 m. Find the area of the square.
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.
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
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Example 4 The length of the diagonal of a square is 12 cm. Find its area and perimeter.
Diagonal of a square = 12 cm
Area of square = 1/2 (d)²
= 1/2 (12)²
= 1/2 × 12 × 12
Side of a square = √Area
= √(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.
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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