Question

Квадрат із стороною 18 см і прямокутник, щирина якого 12 см, мають рівні периметри. Знайти довжину прямокутника

Answer 1

Р квадрата = Р прямокутника
Р квадрата = 4а = 4*18=72 см
а-сторона
Р прямокутника = (а+в)*2
а=Р:2-в=72:2-12=24 см - довжина

Answer 2

Problem Analysis

We are given a square with a side length of 18 cm and a rectangle with a width of 12 cm. Both shapes have equal perimeters. We need to find the length of the rectangle.

Solution

To find the length of the rectangle, we need to compare the perimeters of the square and the rectangle.

The perimeter of a square is calculated by multiplying the length of one side by 4. In this case, the side length of the square is 18 cm, so the perimeter of the square is 18 cm * 4 = 72 cm.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, we know that the width of the rectangle is 12 cm. Let's assume the length of the rectangle is L cm. Therefore, the perimeter of the rectangle is 2 * (12 cm + L cm) = 24 cm + 2L cm.

Since the perimeters of the square and the rectangle are equal, we can set up the following equation:

72 cm = 24 cm + 2L cm

Simplifying the equation, we get:

2L cm = 72 cm - 24 cm

2L cm = 48 cm

Dividing both sides of the equation by 2, we find:

L cm = 48 cm / 2

L cm = 24 cm

Therefore, the length of the rectangle is 24 cm.

Answer

The length of the rectangle is 24 cm.