Question

Квадрат и прямоугольник имеют одинаковый периметр 20 см. Узнай площадь прямоугольника, если его ширина равна 3 см. Площадь какой фигуры меньше и на сколько .

Answer 1

1) Р квадрата = 4*а = 20; а = 5 (см) сторона квадрата
    S квадрата = а*а = 5*5 = 25 (см) 

2) Р прямоугольника = (а+3)*2= 20; 2а = 20 - 6; а= 7
     S прямоугльника = а*в = 3*7 = 21 см

3) 25-21 = 4 см площадь квадрата больше чем площадь прямоугольника

Answer 2

Т.к. у квадрата все стороны равны, то мы 20:4=5 - сторона квадрата
20:2 - 3= 7 - длина прямоугольника
7*3=21 - площадь прямоугольника
5*5=25 - площадь квадрата
25-21=4 - площадь квадрата больше, чем площадь прямоугольника на 4

Answer 3

Perimeter of a Square and Rectangle

To find the area of a rectangle, we need to know the width and length of the rectangle. In this case, we are given that the perimeter of both the square and rectangle is 20 cm, and the width of the rectangle is 3 cm.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. For a square, where all sides are equal, the perimeter is calculated by multiplying the length of one side by 4.

Let's calculate the length of the sides of the square and rectangle:

For the square: - Perimeter = 20 cm - Since all sides of a square are equal, the length of one side is equal to the perimeter divided by 4. - Length of one side of the square = 20 cm / 4 = 5 cm

For the rectangle: - Perimeter = 20 cm - Since the width of the rectangle is given as 3 cm, we can calculate the length of the other side by subtracting twice the width from the perimeter. - Length of the rectangle = Perimeter - 2 * Width = 20 cm - 2 * 3 cm = 20 cm - 6 cm = 14 cm

Now that we have the dimensions of the square and rectangle, we can calculate their areas.

Calculating the Areas

The area of a square is calculated by multiplying the length of one side by itself. The area of a rectangle is calculated by multiplying the length and width.

Let's calculate the areas:

For the square: - Length of one side = 5 cm - Area of the square = Length of one side * Length of one side = 5 cm * 5 cm = 25 cm^2

For the rectangle: - Length = 14 cm - Width = 3 cm - Area of the rectangle = Length * Width = 14 cm * 3 cm = 42 cm^2

Comparison of Areas

Now, let's compare the areas of the square and rectangle.

- Area of the square = 25 cm^2 - Area of the rectangle = 42 cm^2

The area of the square is smaller than the area of the rectangle by 17 cm^2.

Therefore, the area of the rectangle is smaller than the area of the square by 17 cm^2.