Question

Прямоугольник и квадрат имеют одинаковый периметр равный 12 см. при этом Длина прямоугольника в 5 раз больше его ширины Начерти такие фигуры в тетради длина каждой стороны должна быть выражена целым числом сантиметров найти площадь разных фигур

Answer 1

У квадрата 4 стороны по 3 см каждая
у прямоугольника ширина 1 см а длинна 5 см
Pкв=2(3+3)=12
Рпр=1+5+1+5=12см
Sкв=3*3=9 (см2)-площадь квадрата
Sпр=5*1=5 (см2)-площадь прямоугольника

Answer 2

Perimeter of Rectangle and Square

To find the area of different figures, we first need to determine the dimensions of the rectangle and square.

Let's assume the width of the rectangle is x cm. According to the given information, the length of the rectangle is 5 times its width, so the length would be 5x cm.

The perimeter of a rectangle is given by the formula: 2(length + width).

Therefore, the perimeter of the rectangle is: 2(5x + x) = 2(6x) = 12x cm.

Since the perimeter of the rectangle is given as 12 cm, we can set up the equation: 12x = 12.

Solving this equation, we find that x = 1 cm.

So, the width of the rectangle is 1 cm and the length is 5 cm.

Now, let's move on to the square. Since a square has all sides equal, the perimeter of a square is given by the formula: 4 * side.

Since the perimeter of the square is also given as 12 cm, we can set up the equation: 4 * side = 12.

Solving this equation, we find that side = 3 cm.

Therefore, the width of the rectangle is 1 cm, the length is 5 cm, and the side of the square is 3 cm.

Area of the Figures

To find the area of the rectangle, we use the formula: length * width. Substituting the values, we get: 5 cm * 1 cm = 5 cm².

To find the area of the square, we use the formula: side * side. Substituting the values, we get: 3 cm * 3 cm = 9 cm².

Therefore, the area of the rectangle is 5 cm² and the area of the square is 9 cm².

Please note that the dimensions of the figures are expressed in whole numbers of centimeters, as requested.