Question

Длина пруда для рыбы на 200м.больше его ширины.Хозяин обходит пруд по длине за 9 мин.,а по ширине за 4 мн.,двигаясь с одинаковой скоростью.Чему равна площадь этого пруда?(пожалуйста со всеми объяснениями)

Answer 1

1)9-4=на 5мин больше-по длине.

2)200:5=40м/мин-скорость хозяина.

3)40*9=360м-длина пруда.

4)40*4=160м-ширина пруда.

5)360*160=57600кв.м-площадь пруда.

Answer 2

1)9-4=5(мин)-тратит на 200метров.

2)200:5=40(м/мин)- скорость хозяина.

3)40х9=360(м)- длина пруда.

4)40х4=160(м)-ширина пруда.

5)360х160=57600(м2)-площадь пруда.

Ответ:57600м2

Answer 3

Problem Analysis

We are given that the length of a pond is 200 meters longer than its width. The owner can walk around the pond in 9 minutes when walking along the length and in 4 minutes when walking along the width, both at the same speed. We need to find the area of the pond.

Solution

Let's assume the width of the pond is x meters. According to the problem, the length of the pond is 200 meters longer than its width, so the length would be x + 200 meters.

To find the area of the pond, we multiply the length by the width: Area = Length × Width.

Let's calculate the length and width of the pond and then find the area.

Calculation

Given: - The owner can walk around the pond in 9 minutes along the length and in 4 minutes along the width. - The owner walks at the same speed along both the length and width.

Let's assume the width of the pond is x meters.

According to the given information, the length of the pond is 200 meters longer than its width. So the length would be x + 200 meters.

The time taken to walk around the pond along the length is 9 minutes, and along the width is 4 minutes.

We can calculate the speed of the owner using the formula: Speed = Distance / Time.

The distance along the length is the length of the pond, which is x + 200 meters. The time taken to walk along the length is 9 minutes.

So, the speed along the length is: Speed_length = (x + 200) / 9 meters per minute.

Similarly, the distance along the width is the width of the pond, which is x meters. The time taken to walk along the width is 4 minutes.

So, the speed along the width is: Speed_width = x / 4 meters per minute.

Since the owner walks at the same speed along both the length and width, we can equate the two speeds:

(x + 200) / 9 = x / 4

Let's solve this equation to find the value of x.

Multiplying both sides of the equation by 36 to eliminate the denominators:

4(x + 200) = 9x

Expanding and simplifying the equation:

4x + 800 = 9x

Subtracting 4x from both sides:

800 = 5x

Dividing both sides by 5:

x = 160

So, the width of the pond is 160 meters.

The length of the pond is x + 200 = 160 + 200 = 360 meters.

Now, let's calculate the area of the pond using the formula: Area = Length × Width.

Area = 360 × 160 = 57,600 square meters.

Answer

The area of the pond is 57,600 square meters.

Explanation

The width of the pond is assumed to be 160 meters. The length of the pond is calculated to be 360 meters, which is 200 meters longer than the width. The area of the pond is found by multiplying the length and width, resulting in 57,600 square meters.