Question

Площадь прямоугольника 360см в квадрате размер одной из сторон - 30см. Найди площадь квадрата, периметр которого равен периметру прямоугольника. Помогите срочно!!!

Answer 1

Ответ:

1)360:30=12см это ширина

2)(30+12)×2=84см это периметр

3)84:4=21см это длина квадрата

4)21×21=441см площадь квадрата

Answer 2

Calculation of Rectangle Area and Side Lengths

To find the area of a rectangle, we multiply the length by the width. In this case, the area of the rectangle is given as 360 cm², and one of the side lengths is 30 cm. Let's calculate the other side length.

Let the length of the rectangle be L and the width be W. We know that L * W = 360 cm² and one of the side lengths is 30 cm. We can set up the following equation:

L * 30 = 360

Solving for L, we divide both sides of the equation by 30:

L = 360 / 30 = 12 cm

Therefore, the length of the rectangle is 12 cm.

Calculation of Rectangle Perimeter

The perimeter of a rectangle is the sum of all its side lengths. To find the perimeter of the given rectangle, we can use the formula:

Perimeter = 2 * (Length + Width)

Substituting the values we know, the perimeter of the rectangle is:

Perimeter = 2 * (12 cm + 30 cm) = 2 * 42 cm = 84 cm

Calculation of Square Area and Side Length

Now, we need to find the area and side length of a square with the same perimeter as the rectangle.

The perimeter of the square is also 84 cm, so each side length of the square is equal to 84 cm divided by 4 (since a square has four equal sides):

Side Length = Perimeter / 4 = 84 cm / 4 = 21 cm

To find the area of the square, we square the side length:

Area = Side Length * Side Length = 21 cm * 21 cm = 441 cm²

Therefore, the area of the square with a perimeter equal to the perimeter of the given rectangle is 441 cm².

Summary: - The length of the rectangle is 12 cm, and one of the side lengths is 30 cm. - The perimeter of the rectangle is 84 cm. - The side length of the square with the same perimeter is 21 cm. - The area of the square is 441 cm².

I hope this helps! Let me know if you have any further questions.