The perimeter of a square is 48 cm. What is the area of the square in cm²?

• A. 144
• B. 64
• C. 100
• D. 128

Answer: (A)

To find the area of the square, we start with the information given about its perimeter. The formula for the perimeter of a square is given by ( P = 4s ), where ( s ) is the length of one side of the square.

From the problem, we know that the perimeter is 48 cm. Therefore, we can set up the equation:

[

4s = 48

]

To find the length of one side ( s ), we divide both sides by 4:

[

s = \frac{48}{4} = 12 \text{ cm}

]

Once we have the length of the side, we can calculate the area of the square using the formula for area, which is ( A = s^2 ):

[

A = 12^2 = 144 \text{ cm}^2

]

Thus, the area of the square is 144 cm². This area corresponds with the first choice provided.