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A plot of land must be divided between four families. They instant their individual plots to be similar in shape, not necessarily in area. The land has equally spaced placed marked as dots on the below figure. Two ropes R1 and R2 are already present and cannot be moved.
What is the least number of additional straight ropes needed to needs to divided plot ? A straight rope can pass through three poles that are aligned in a straight line
What is the least number of additional straight ropes needed to needs to divided plot ? A straight rope can pass through three poles that are aligned in a straight line
- a)2
- b)3
- c)4
- d)5
Correct answer is option 'B'. Can you explain this answer?
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To divide the plot of land between four families, we need to find the least number of additional ropes required to divide the plot. Let's analyze the given figure and come up with a solution.
Identify the Existing Ropes:
- We are given two ropes, R1 and R2, which are already present and cannot be moved. These ropes divide the plot into three parts.
Identify the Number of Families:
- We need to divide the plot between four families. Each family should have a similar-shaped plot.
Analyze the Existing Ropes:
- The existing ropes R1 and R2 divide the plot into three parts, but they do not divide the plot equally among four families.
Identify the Gaps:
- To divide the plot equally among four families, we need to identify the gaps between the existing ropes.
Determine the Number of Additional Ropes:
- To divide the gaps equally, we need to draw straight ropes through three poles aligned in a straight line.
Calculating the Number of Additional Ropes:
- The first gap can be divided by drawing one additional rope.
- The second gap can be divided by drawing one additional rope.
- The third gap can be divided by drawing one additional rope.
Total Number of Additional Ropes:
- Adding up the number of additional ropes for each gap, we get a total of three additional ropes.
Therefore, the least number of additional straight ropes needed to divide the plot equally among four families is three, which corresponds to option 'B'.
Identify the Existing Ropes:
- We are given two ropes, R1 and R2, which are already present and cannot be moved. These ropes divide the plot into three parts.
Identify the Number of Families:
- We need to divide the plot between four families. Each family should have a similar-shaped plot.
Analyze the Existing Ropes:
- The existing ropes R1 and R2 divide the plot into three parts, but they do not divide the plot equally among four families.
Identify the Gaps:
- To divide the plot equally among four families, we need to identify the gaps between the existing ropes.
Determine the Number of Additional Ropes:
- To divide the gaps equally, we need to draw straight ropes through three poles aligned in a straight line.
Calculating the Number of Additional Ropes:
- The first gap can be divided by drawing one additional rope.
- The second gap can be divided by drawing one additional rope.
- The third gap can be divided by drawing one additional rope.
Total Number of Additional Ropes:
- Adding up the number of additional ropes for each gap, we get a total of three additional ropes.
Therefore, the least number of additional straight ropes needed to divide the plot equally among four families is three, which corresponds to option 'B'.
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A plot of land must be divided between four families. They instant their individual plots to be similar in shape, not necessarily in area. The land has equally spaced placed marked as dots on the below figure. Two ropes R1 and R2 are already present and cannot be moved.What is the least number of additional straight ropes needed to needs to divided plot ? A straight rope can pass through three poles that are aligned in a straight linea)2b)3c)4d)5Correct answer is option 'B'. Can you explain this answer?
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