Question

Пириметр прямоугольникаравен 162дм а 1 из сторон 47 дм найдите площадь прямоугольника

Answer 1

47×2=94
162-94=68
68÷2=34
S=47×34=1598 дм в квадре

Answer 2

Calculation of the Area of a Rectangle

To find the area of a rectangle, we need to know the length and width of the rectangle. In this case, we are given the perimeter of the rectangle, which is 162 dm, and one of the sides, which is 47 dm.

Finding the Width of the Rectangle

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, we are given that the perimeter is 162 dm. Since the rectangle has two pairs of equal sides, we can divide the perimeter by 2 to get the sum of the lengths of the two equal sides.

Let's denote the length of one of the equal sides as 'x'. Since we know that one of the sides is 47 dm, we can write the equation:

2x + 2(47) = 162

Simplifying the equation:

2x + 94 = 162

Subtracting 94 from both sides:

2x = 162 - 94

2x = 68

Dividing both sides by 2:

x = 34

So, the length of one of the equal sides is 34 dm.

Calculating the Area of the Rectangle

Now that we know the length and width of the rectangle, we can calculate its area. The area of a rectangle is given by the formula:

Area = length * width

In this case, the length is 34 dm and the width is 47 dm. Plugging these values into the formula:

Area = 34 dm * 47 dm

Calculating the area:

Area = 1598 dm^2

Therefore, the area of the rectangle is 1598 square decimeters.