Calculating the Total Area of a Garden with Specific Planting Sections
When designing a garden, it's important to understand how different sections within the garden can be allocated and calculated to determine the overall area. Let's break down the math behind how a garden with specific sections for vegetables, fruit orchards, and flowers can be analyzed and calculated.
Problem Statement
The garden around a new farm is divided into several sections as follows: 35 square meters for vegetables, 30 square meters for fruit orchards, 10 square meters for flowers, and the remaining 120 square meters for lawns. The goal is to determine the total area of the garden.
Solution
We need to calculate the total area of the garden based on the given distribution of sections. Let's solve the problem step-by-step.
Step 1: Sum the Known Areas
First, add up the areas of the known sections:
Total Known Area Area of Vegetables Area of Fruit Orchards Area of Flowers
Total Known Area 35 m2 30 m2 10 m2 75 m2
Step 2: Determine the Total Area
The remaining area is allocated for lawns and is given as 120 square meters. This can be used to find the total area of the garden.
Balance Area Total Known Area Remaining Area 75 m2 120 m2
Total Area 75 m2 120 m2 480 m2
Alternative Method: Proportional Calculation
Another method to determine the total area involves using proportions. If 25% of the garden (the remaining area) is 120 square meters, we can find the total area.
25% of Total Area 120 m2
Total Area 120 m2 × 100 / 25
Total Area 480 m2
Conclusion
Thus, the total area of the garden is 480 square meters. This method ensures that the total area is accurate, given the known fractions and remaining area.
Further Considerations
Understanding the distribution of different sections within a garden can help in optimizing space, ensuring diverse plant beds, and creating a balanced and aesthetically pleasing layout. This calculation can be applied to various situations, from small home gardens to large commercial farms.
For a more detailed analysis, you can use similar logical steps to determine the area of individual sections within larger gardens or to plan additional features such as pathways, water features, and seating areas.