Question

Длина участка прямоугольной формы на 200 метров больше ширины ,причем ширина составляет одну вторую длины. за какое время мальчик обойдет этот участок, если его скорость 6км/ч? километров час

Answer 1

200м=0,2 км
х км - ширина участка,
(х+0,2) км - длина участка.
(х+0,2)/х=2
х+0,2=2х
2х-х=0,2
х=0,2 км - ширина участка
0,2+0,2=0,4 км -длина участка
2(0,4+0,2)=1,2 км - периметр участка
1,2:6=0,2 ч.=12 мин. - за столько времени мальчик обойдёт участок

Answer 2

Calculation of the Length and Width of the Rectangular Area

To find the length and width of the rectangular area, we can set up the following equations based on the given information:

Let's assume the width of the rectangular area is x meters. According to the given information, the length of the rectangular area is 200 meters more than the width. Therefore, the length can be expressed as x + 200 meters.

We are also given that the width is one-third of the length. So, we can set up the equation:

x = (1/3)(x + 200)

To solve this equation, we can multiply both sides by 3 to eliminate the fraction:

3x = x + 200

Simplifying the equation:

2x = 200

Dividing both sides by 2:

x = 100

Therefore, the width of the rectangular area is 100 meters, and the length is 100 + 200 = 300 meters.

Calculation of the Time to Circumnavigate the Area

To calculate the time it takes for the boy to circumnavigate the rectangular area, we need to know the perimeter of the rectangle. The perimeter of a rectangle is calculated by adding the lengths of all four sides.

In this case, the length of the rectangle is 300 meters, and the width is 100 meters. So, the perimeter can be calculated as:

Perimeter = 2(length + width)

Substituting the values:

Perimeter = 2(300 + 100) = 2(400) = 800 meters

The boy's speed is given as 6 km/h. To convert this speed to meters per hour, we need to multiply it by 1000 (since there are 1000 meters in a kilometer):

Speed = 6 km/h * 1000 = 6000 meters/hour

To calculate the time it takes to circumnavigate the area, we can divide the perimeter of the rectangle by the boy's speed:

Time = Perimeter / Speed = 800 meters / 6000 meters/hour

Simplifying the equation:

Time = 0.1333 hours

Converting hours to minutes, we get:

Time = 0.1333 hours * 60 minutes/hour = 8 minutes

Therefore, it will take the boy approximately 8 minutes to circumnavigate the rectangular area.

Please note that the above calculations are based on the given information and assumptions.