Question

Летчик нарисовал для принца ящик с барашком. Стенки ящика были сделаны из квадратов и прямоугольников, причем каждый квадрат и каждый прямоугольник состоял из четырех маленьких квадратов со стороной 7 см. Что больше: периметр большого квадрата или периметр прямоугольника , и на сколько сантиметров?

Answer 1

Четыре маленьких квадрата со стороной 7 см можно расположить в большой квадрат 2 на 2. Сторона квадрата будет а = 2*7 = 14, а периметр
P(кв) = 4*14 = 56 см.
Эти же маленькие квадраты можно расположить в прямоугольник 1 на 4.
Стороны прямоугольника a = 1*7 = 7 и b = 4*7 = 28. Периметр
P(прям) = 2*7 + 2*28 = 14 + 56 = 70 см
Ответ: у прямоугольника периметр больше на 14 см.
Интересно, многие ли поймут, о каком летчике и каком принце идет речь?

Answer 2

Problem Analysis

A pilot drew a box with a lamb for a prince. The box's walls were made up of squares and rectangles, with each square and rectangle consisting of four small squares with a side length of 7 cm. The question is whether the perimeter of the large square or the perimeter of the rectangle is greater, and by how many centimeters.

Solution

To determine whether the perimeter of the large square or the perimeter of the rectangle is greater, we need to calculate the perimeters of both shapes.

Let's start by calculating the perimeter of the large square. The large square is made up of smaller squares with a side length of 7 cm. Since each side of the large square consists of four small squares, the side length of the large square is 7 cm multiplied by 4, which equals 28 cm. Therefore, the perimeter of the large square is 4 times the side length, which is 4 multiplied by 28 cm, resulting in a perimeter of 112 cm.

Next, let's calculate the perimeter of the rectangle. The rectangle is also made up of smaller squares with a side length of 7 cm. However, the arrangement of the squares is different, and we don't have enough information to determine the exact dimensions of the rectangle. Therefore, we cannot calculate the perimeter of the rectangle without additional information.

In conclusion, we can determine that the perimeter of the large square is 112 cm, but we cannot determine the perimeter of the rectangle without more information.

Answer

The perimeter of the large square is 112 cm. The perimeter of the rectangle cannot be determined without additional information.