Question

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

Answer 1

6,8+1,5=8,3 км длина участка
8,3×6,8=56,44 кв км площадь всего участка
56,44×4/7=32,25 кв км засеяно рожью
56,44-32,25=24,19 кв км остальной участок

Answer 2

Perimeter of a Rectangular Plot

To find the remaining area of the rectangular plot, we first need to determine the dimensions of the plot. Let's denote the width of the plot as w and the length as l.

According to the given information, the perimeter of the plot is 6.8 km, and the length is 1.5 km greater than the width. We can set up the following equations:

1. Perimeter equation: 2w + 2l = 6.8 (since the perimeter of a rectangle is the sum of all its sides) 2. Length equation: l = w + 1.5 (since the length is 1.5 km greater than the width)

To solve these equations, we can substitute the value of l from the second equation into the first equation:

2w + 2(w + 1.5) = 6.8

Simplifying the equation:

2w + 2w + 3 = 6.8

4w + 3 = 6.8

4w = 6.8 - 3

4w = 3.8

w = 3.8 / 4

w = 0.95 km

Now that we have the width, we can substitute this value back into the second equation to find the length:

l = 0.95 + 1.5

l = 2.45 km

Therefore, the width of the rectangular plot is 0.95 km and the length is 2.45 km.

Remaining Area of the Plot

To find the remaining area of the plot, we need to subtract the area that has been sown from the total area of the plot.

The area of a rectangle is given by the formula: Area = length × width.

Using the values we found earlier, the total area of the plot is:

Total Area = 0.95 km × 2.45 km

Total Area = 2.3275 km²

According to the given information, 4/7 of the total area has been sown. To find the remaining area, we need to subtract this sown area from the total area:

Remaining Area = Total Area - Sown Area

Remaining Area = Total Area - (4/7) × Total Area

Remaining Area = Total Area × (1 - 4/7)

Remaining Area = 2.3275 km² × (3/7)

Remaining Area = 0.995 km²

Therefore, the remaining area of the plot is 0.995 km².

Please let me know if there is anything else I can help you with!