Question

Из трёх равных квадратов сложили прямоугольник. Найдите периметр этого прямоугольника, если площадь квадрата равна 4 см2. Дайте ответ в сантиметрах.

Answer 1

1)4см2мм=42мм
2)42:2=21 сторона одного квадрата
3)21×3=63мм 21мм длина
4)(63+21)×2=164мм=16см и 4мм

Answer 2

Problem Analysis

We are given three equal squares that are combined to form a rectangle. The area of each square is 4 cm². We need to find the perimeter of this rectangle.

Solution

To find the perimeter of the rectangle, we need to determine the lengths of its sides. Let's assume the side length of each square is a.

Since the area of each square is given as 4 cm², we can write the equation:

a² = 4 cm² Taking the square root of both sides, we find:

a = 2 cm

Now, let's consider the rectangle formed by combining the three squares. We can see that the rectangle has two sides of length a and two sides of length 2a.

Therefore, the perimeter of the rectangle can be calculated as:

Perimeter = 2a + 2(2a) = 2a + 4a = 6a

Substituting the value of a as 2 cm, we get:

Perimeter = 6(2 cm) = 12 cm

So, the perimeter of the rectangle formed by combining the three squares is 12 cm.

Answer

The perimeter of the rectangle formed by combining the three squares, with each square having an area of 4 cm², is 12 cm.