Question

Перимтр квадрата на 12 см больше площади чему равны стороны квадрата

Answer 1

Сторона квадрата = 6 см
6*6=36 (см2)
6+6+6+6=24 
36-24=12

Answer 2

Finding the Side Length of a Square with a Given Perimeter and Area

To find the side length of a square when the perimeter is 12 cm greater than the area, we can use the following steps:

1. Calculate the Perimeter and Area of the Square: - Let's denote the side length of the square as a. - The perimeter of a square is given by the formula: P = 4a. - The area of a square is given by the formula: S = a^2.

2. Formulate the Equation: - According to the given condition, the perimeter is 12 cm greater than the area: P = S + 12.

3. Solve for the Side Length: - We can substitute the formulas for perimeter and area into the equation and solve for the side length.

Solution

1. Calculate the Perimeter and Area of the Square: - The perimeter of a square with side length a is given by: P = 4a. - The area of a square with side length a is given by: S = a^2.

2. Formulate the Equation: - According to the given condition, the perimeter is 12 cm greater than the area: P = S + 12.

3. Solve for the Side Length: - Substituting the formulas for perimeter and area into the equation, we get: 4a = a^2 + 12. - Rearranging the equation gives us: a^2 - 4a + 12 = 0. - Solving this quadratic equation, we find that the side length of the square is 2 + 2√2 cm or 2 - 2√2 cm.

Therefore, the side length of the square can be expressed as 2 + 2√2 cm or 2 - 2√2 cm.