Question

Прямоугольник АБВГ разбит на квадраты. Длина стороны самого маленького кадрата равна 1см. Чему равен периметр прямоугольника? Спасибо.

Answer 1

Мне кажется так

Пусть у нас прямоугольник разбит на m квадратов по длине и n квадратов по ширине. Тогда общая длина проведённых линий m(n+1)+n(m+1)=(2mn+m+n)см, причём, m и n - целые числа. Итак, 2mn+m+n=100. Отсюда 
2mn+n=100-m 
n(2m+1)=100-m 
n=(100-m)/(2m+1). 
Остаётся только найти все натуральные m и n, удовлетворяющие этому уравнению. Например, 1см и 33см. Тогда площадь будет равна 33см²

Answer 2

Calculating the Perimeter of the Rectangle

To calculate the perimeter of the rectangle, we can use the information provided about the division of the rectangle into squares, with the length of the smallest square being 1 cm.

The perimeter of the rectangle can be calculated by adding the lengths of all four sides of the rectangle.

Given that the rectangle is divided into squares, we can determine the number of squares along the length and width of the rectangle to find the dimensions of the rectangle.

Determining the Dimensions of the Rectangle

To determine the dimensions of the rectangle, we need to find the number of squares along the length and width of the rectangle. Since the length of the smallest square is 1 cm, we can use this information to calculate the dimensions of the rectangle.

Calculating the Perimeter

Once we have the dimensions of the rectangle, we can calculate the perimeter by adding the lengths of all four sides.

The perimeter of the rectangle can be calculated using the formula: Perimeter = 2 * (length + width)

By substituting the values of length and width with the calculated dimensions, we can find the perimeter of the rectangle.

I hope this helps! If you have any further questions, feel free to ask.