# The rectangle is divided into squares. The perimeter of the filled square is 4 cm. Find the perimeter of the rectangle.

July 28, 2021 | education

| Perimeter of a square and perimeter of a rectangle

The perimeter of a rectangle can be defined as P = a + b + a + b. Here are similar ones: 2a + 2b;

The perimeter of a square can be defined as P = a + a + a + a. Here are similar ones: 4a;

In the problem statement, it is given that the side of the square is 4 cm.Above, we have determined that all 4 sides of the square have the same length, which means that the width of the rectangle (b) will be equal to the side of the square, that is, 4 cm. We are also given that the rectangle is divided into two square, despite the fact that its side is 4 cm, then the length of the rectangle (a) is 4 * 2 = 8 cm.

We get: P = 2a + 2b; P = 2 (a + b); P = 2 (8 + 4); P = 2 * 12 = 24 cm.

Answer: P = 24 cm.

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