The perimeter of square Formula represents the overall length of its boundary within a two-dimensional plane. It essentially outlines the path encircling the shape. To calculate the perimeter of a closed geometric figure, such as a square, you simply add up the lengths of all its sides. Since a square is a four-sided polygon with all sides of equal length, its perimeter is determined by summing up the measurements of all four sides. In this explanation, we will provide a comprehensive overview of how to calculate the perimeter of a square, including the formula, derivation, and illustrated examples.
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Solution:
Given:
Side length, s = 5 cm The formula for calculating the perimeter of a square is as follows: Perimeter of Square = 4s units Now, substitute the value of 's' into the perimeter formula: P = 4 × 5 cm P = 20 cm Hence, the perimeter of the square is 20 cm. Question 2: Compute the perimeter of a square with a side length of 16 cm.Solution:
Given:
Side length of the square = a = 16 cm The formula for the perimeter of a square is: Perimeter of Square = 4a Substitute the value of 'a' into the formula: Perimeter = 4 × 16 Perimeter = 64 cm Therefore, the perimeter of the square is 64 cm. Question 3: If the perimeter of a square is 92 cm, determine the length of its side.Solution:
Perimeter = 4 × side To find the side length, rearrange the formula as follows: Side of Square = Perimeter / 4 Now, calculate the side length: Side of the square = 92 cm / 4 Side of the square = 23 cm So, the side length of the square is 23 cm.