To find the areas of the farm and the garden, we can use the formula for the area of a rectangle, which is:
\[ \text{Area} = \text{length} \times \text{width} \]
Area of the Farm
The dimensions of the farm are 10 cm by 15 cm. Therefore, the area of the farm is:
\[ \text{Area of the farm} = 10 , \text{cm} \times 15 , \text{cm} = 150 , \text{square cm} \]
Area of the Garden
The dimensions of the garden are 3 cm by 10 cm. Therefore, the area of the garden is:
\[ \text{Area of the garden} = 3 , \text{cm} \times 10 , \text{cm} = 30 , \text{square cm} \]
Percentage of the Farm that is the Garden
To find what percentage of the farm is represented by the garden, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Area of the garden}}{\text{Area of the farm}} \right) \times 100 \]
Substituting the areas calculated:
\[ \text{Percentage} = \left( \frac{30 , \text{square cm}}{150 , \text{square cm}} \right) \times 100 = \left( \frac{1}{5} \right) \times 100 = 20% \]
Summary
- Area of the farm: 150 square cm
- Area of the garden: 30 square cm
- Percentage of the farm that is the garden: 20%