Question

одна сторона прямоугольника в три раза больше от второй, а периметр его равен 60см. обчислете сторони прямоугольника и его площу. задача с иксом очень срочно

Answer 1

Пусть х одна сторона, тогда 3х вторая сторона
известно что периметр = 60 см
получу уравнение х+3х=60
                            4х=60
                              х=15
15 см одна торона, тогда вторая сторона 15*3=45
площадь равна а*d=45*15=675см2

Answer 2

Problem Analysis

We are given that one side of a rectangle is three times larger than the other side, and the perimeter of the rectangle is 60 cm. We need to find the lengths of the sides of the rectangle and its area.

Solution

Let's assume that the shorter side of the rectangle is represented by the variable x. According to the problem, the longer side is three times larger, so we can represent it as 3x.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter is given as 60 cm, so we can write the equation as:

2(x + 3x) = 60

Simplifying the equation, we get:

2(4x) = 60

8x = 60

Now, we can solve for x:

x = 60 / 8

x = 7.5

So, the shorter side of the rectangle is 7.5 cm, and the longer side is three times larger, which is 3 * 7.5 = 22.5 cm.

Calculation of Area

The area of a rectangle is given by the formula: length * width. In this case, the length is 22.5 cm and the width is 7.5 cm. Therefore, the area of the rectangle is:

Area = 22.5 * 7.5 = 168.75 cm^2

So, the area of the rectangle is 168.75 square centimeters.

Conclusion

The shorter side of the rectangle is 7.5 cm, the longer side is 22.5 cm, and the area of the rectangle is 168.75 square centimeters.