Question

ПОМОГИТЕ! Периметр прямоугольного участка равен 6,8км,причем длина на 1,5км больше ширины.рожью засеяно 4/7площади этого участка.найдите остальную площадь.

Answer 1

Problem Analysis

To solve this problem, we need to find the remaining area of a rectangular plot given its perimeter and the relationship between its length and width. We are also given that 4/7 of the plot's area is sown with grass.

Given Information

- Perimeter of the rectangular plot = 6.8 km - Length of the plot is 1.5 km greater than its width - 4/7 of the plot's area is sown with grass

Solution Steps

1. Let's assign variables to the width and length of the rectangular plot. - Let w represent the width of the plot. - Since the length is 1.5 km greater than the width, the length can be represented as w + 1.5.

2. The perimeter of a rectangle is given by the formula: 2(length + width). - We can use this formula to write an equation for the given perimeter: 2(w + w + 1.5) = 6.8.

3. Simplifying the equation, we get: 4w + 3 = 6.8.

4. Solving for w, we subtract 3 from both sides and divide by 4: w = (6.8 - 3) / 4.

5. Calculating the value of w, we find that w = 0.95 km.

6. Now that we know the width, we can calculate the length by adding 1.5 km to the width: length = 0.95 + 1.5 = 2.45 km.

7. The area of a rectangle is given by the formula: length * width. - We can use this formula to calculate the total area of the plot: area = 2.45 * 0.95.

8. To find the remaining area, we need to subtract the area that is sown with grass. - We are given that 4/7 of the plot's area is sown with grass, so the remaining area is (1 - 4/7) * area.

9. Calculating the remaining area, we get: remaining area = (3/7) * area.

Calculation Steps

Let's calculate the values step by step:

1. w = (6.8 - 3) / 4 = 0.95 km 2. length = w + 1.5 = 0.95 + 1.5 = 2.45 km 3. area = length * width = 2.45 * 0.95 = 2.3275 km^2 4. remaining area = (3/7) * area = (3/7) * 2.3275 = 0.9959 km^2

Answer

The remaining area of the rectangular plot is approximately 0.9959 square kilometers.