4 задача

To solve problem 4, we need to find the side lengths of a square given its perimeter and area.

The problem states:

• Perimeter \( u = 96 \text{ cm} \)
• Area \( A = 81 \text{ cm}^2 \)

Since we know these properties for a square:

1. Perimeter of a square formula:
   \( u = 4 \times a \)
   where \( a \) is the side length of the square.

   From \( u = 96 \text{ cm} \), we solve for \( a \): \[ 4a = 96 \] \[ a = 24 \text{ cm} \]

2. Area of a square formula:
   \( A = a^2 \)

   From \( A = 81 \text{ cm}^2 \), we solve for \( a \): \[ a^2 = 81 \] \[ a = 9 \text{ cm} \]

There's a contradiction here because for a square, the solution for \( a \) should be consistent from both perimeter and area calculations. Since the area given doesn't match a side length of 24 cm, it appears there might be an error in either the problem's numbers or its setup. Double-check the problem conditions for clarification.