What is the area of a square with a perimeter of 48 cm?

• A. 100 cm²
• B. 120 cm²
• C. 144 cm²
• D. 160 cm²

Answer: (C)

To find the area of a square, you first need to determine the length of one side of the square. The perimeter of a square can be calculated using the formula:

Perimeter = 4 × side length.

Given that the perimeter of the square is 48 cm, you can set up the equation:

48 = 4 × side length.

To find the side length, divide both sides of the equation by 4:

side length = 48 ÷ 4 = 12 cm.

Now that you have the length of one side, you can calculate the area of the square using the formula:

Area = side length × side length.

Substituting the value you found for the side length:

Area = 12 cm × 12 cm = 144 cm².

Therefore, the area of the square is 144 cm², which corresponds to the correct answer. This demonstrates a clear application of the properties of squares and the relationships between perimeter and area.