If a square has a perimeter of 32 cm, what is the area of the square?

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Question: If a square has a perimeter of 32 cm, what is the area of the square?

Options:

Correct Answer: 64 cm²

Solution:

Side length = perimeter/4 = 32/4 = 8 cm. Area = side² = 8² = 64 cm².

If a square has a perimeter of 32 cm, what is the area of the square?

If a square has a perimeter of 32 cm, what is the area of the square?

Step 1: Understand that a square has four equal sides.
Step 2: Know that the perimeter of a square is the total length around it, which is calculated by adding all four sides together.
Step 3: Use the formula for the perimeter of a square: Perimeter = 4 × side length.
Step 4: Since the perimeter is given as 32 cm, set up the equation: 4 × side length = 32 cm.
Step 5: To find the side length, divide the perimeter by 4: side length = 32 cm / 4.
Step 6: Calculate the side length: side length = 8 cm.
Step 7: Now, to find the area of the square, use the formula: Area = side length × side length.
Step 8: Substitute the side length into the area formula: Area = 8 cm × 8 cm.
Step 9: Calculate the area: Area = 64 cm².

Perimeter of a Square – The perimeter of a square is calculated by adding the lengths of all four sides, which is four times the length of one side.
Area of a Square – The area of a square is calculated by squaring the length of one side.