Question

Периметр прямоугольника 32 см. Одна сторона 6 см. Найдите его площадь.

Answer 1

Периметр это сумма всех его сторон
значит 32-(6+6) = 20
20:2=10
значит одна сторона 6 ,другая 10
площать равна 6×10=60

Answer 2

Площадь равна 60. просто.

Answer 3

Perimeter of a Rectangle

To find the perimeter of a rectangle, you need to add up the lengths of all its sides. The formula for the perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

In this case, we are given that the perimeter of the rectangle is 32 cm and one side is 6 cm. We need to find the area of the rectangle.

Finding the Width

Let's assume the length of the rectangle is 'a' and the width is 'b'. We are given that one side is 6 cm, so we can write the equation as:

Perimeter = 2 * (a + b) = 32 cm

Substituting the given values, we have:

2 * (6 + b) = 32 cm

Simplifying the equation, we get:

12 + 2b = 32

2b = 32 - 12

2b = 20

b = 10 cm

So, the width of the rectangle is 10 cm.

Finding the Length

Now that we know the width is 10 cm, we can substitute this value into the equation to find the length:

Perimeter = 2 * (a + 10) = 32 cm

Simplifying the equation, we get:

2a + 20 = 32

2a = 32 - 20

2a = 12

a = 6 cm

So, the length of the rectangle is 6 cm.

Finding the Area

To find the area of a rectangle, you multiply the length by the width. In this case, the length is 6 cm and the width is 10 cm, so the area can be calculated as:

Area = Length * Width = 6 cm * 10 cm = 60 cm^2

Therefore, the area of the rectangle is 60 cm^2.