To determine the area of Kamal’s orchard planted with tomatoes, we need to follow these steps:
1. Calculate the area planted with cabbage:
Kamal’s orchard is 2500 square meters in size. He plants cabbage in [tex]\(\frac{3}{5}\)[/tex] of the area.
[tex]\[
\text{Area for cabbage} = \frac{3}{5} \times 2500 = 1500 \text{ square meters}
\][/tex]
2. Calculate the remaining area after planting cabbage:
Once the area for cabbage is determined, the remaining area is:
[tex]\[
\text{Remaining area} = 2500 - 1500 = 1000 \text{ square meters}
\][/tex]
3. Calculate the area planted with tomatoes:
Kamal plants tomatoes in 20% of the remaining area. We convert 20% to a fraction:
[tex]\[
20\% = \frac{20}{100} = 0.2
\][/tex]
The area planted with tomatoes is:
[tex]\[
\text{Area for tomatoes} = 0.2 \times 1000 = 200 \text{ square meters}
\][/tex]
Therefore, the area of Kamal's orchard planted with tomatoes is [tex]\(200 \text{ square meters}\)[/tex].
