Math Problem Statement
A field is 62 meters long and 24 meters wide. How many meters of wire will be required to put up 2 wire fences around the farm? How many plants can be planted in the field if plants are to be planted at a distance of one meter each?
Solution
Part 1: Calculating Wire Required for Two Fences
The perimeter of the field is given by the formula: Substituting the values:
Since two wire fences are to be set up, the total wire required is:
Part 2: Calculating Number of Plants
The area of the field is: Substituting the values:
If plants are to be planted at a distance of 1 meter apart, the number of plants equals the total area:
Final Results:
- Wire required for two fences: 344 meters
- Number of plants that can be planted: 1488
Would you like me to explain any of the steps further or assist with related problems?
Related Questions:
- What would happen if the dimensions of the field changed?
- How would the calculation differ if three wire fences were needed?
- How to calculate wire cost if the price per meter is given?
- How many plants fit if spacing between plants is increased to 2 meters?
- How to calculate the cost of planting if each plant costs a specific amount?
Tip:
To estimate the perimeter of any rectangular shape, remember to double the sum of its length and width. This formula is simple yet powerful for many real-life problems!
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Math Problem Analysis
Mathematical Concepts
Perimeter
Area
Multiplication
Measurement
Formulas
Perimeter of a rectangle: P = 2 × (length + width)
Area of a rectangle: A = length × width
Theorems
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Suitable Grade Level
Grades 6-8
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