Question

Длина сада 120 м, а ширина 100 м. Четвёртую часть площади сада занимают сливы , шестую часть- груши, а на остальной территории посажены яблони .Какую часть площади сада занимают яблони?

Answer 1

Ответ: 7000 м² или $\frac{7}{12}$

Пошаговое объяснение: Найдём площадь сада.

S = a × b

S = 120 × 100 = 12000 м²

Найдём часть от слив:

12000 ÷ 4 = 3000 м²

Найдём часть от груш:

12000 ÷ 6 = 2000 м²

Найдём часть от яблоней:

12000 - (3000 + 2000) = 12000 - 5000 = 7000 м²

Переведём в дроби:

$\frac{7000}{12000}$ = $\frac{7}{12}$

Answer 2

Calculation of the Area Occupied by Apple Trees in the Garden

To determine the portion of the garden occupied by apple trees, we need to calculate the area of the garden and then subtract the areas occupied by plums and pears.

Given: - Length of the garden: 120 m - Width of the garden: 100 m

Let's calculate the area of the garden first:

Area of the garden = Length × Width

Area of the garden = 120 m × 100 m = 12,000 square meters

Next, we need to determine the areas occupied by plums and pears:

- Plums: One-fourth (1/4) of the garden - Pears: One-sixth (1/6) of the garden

To calculate the areas occupied by plums and pears, we can multiply the area of the garden by their respective fractions:

Area occupied by plums = (1/4) × Area of the garden

Area occupied by plums = (1/4) × 12,000 square meters = 3,000 square meters

Area occupied by pears = (1/6) × Area of the garden

Area occupied by pears = (1/6) × 12,000 square meters = 2,000 square meters

Finally, we can determine the area occupied by apple trees by subtracting the areas occupied by plums and pears from the total area of the garden:

Area occupied by apple trees = Area of the garden - Area occupied by plums - Area occupied by pears

Area occupied by apple trees = 12,000 square meters - 3,000 square meters - 2,000 square meters = 7,000 square meters

Therefore, the apple trees occupy 7,000 square meters of the garden.