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What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?
- a)Rs. 3,400/-
- b)Rs. 1.700/-
- c)Rs. 3440/-
- d)Cannot be determined
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Understanding the Problem
To calculate the cost of gardening a 1 metre broad boundary around a rectangular plot with a perimeter of 340 metres, we need to first determine the area that will be gardened.
Step 1: Calculate the Area to be Gardened
- The perimeter of the rectangular plot is given as 340 metres.
- A 1 metre wide boundary will increase both the length and width of the rectangular plot.
Step 2: Dimensions of the Original Plot
- Let the length (L) and width (W) of the plot be such that:
2(L + W) = 340
This simplifies to:
L + W = 170 metres.
Step 3: New Dimensions with Boundary
- Including the 1 metre boundary, the new dimensions become:
- New Length = L + 2 (adding 1 metre on both sides)
- New Width = W + 2 (adding 1 metre on both sides)
Step 4: Area Calculation
- Area of the rectangular plot = L * W.
- Area including the boundary = (L + 2)(W + 2).
Expanding this gives:
Area with boundary = LW + 2L + 2W + 4.
- The area of the gardened boundary alone is:
Area of boundary = Area with boundary - Area of original plot
= (LW + 2L + 2W + 4) - LW
= 2L + 2W + 4 = 2 * (L + W) + 4 = 2 * 170 + 4 = 340 + 4 = 344 square metres.
Step 5: Cost Calculation
- The cost of gardening per square metre is Rs. 10.
- Total cost = Area of boundary * Rate per square metre
= 344 * 10 = Rs. 3440.
Conclusion
Thus, the total cost of gardening the 1 metre broad boundary around the rectangular plot is Rs. 3440, making the correct answer option 'C'.
To calculate the cost of gardening a 1 metre broad boundary around a rectangular plot with a perimeter of 340 metres, we need to first determine the area that will be gardened.
Step 1: Calculate the Area to be Gardened
- The perimeter of the rectangular plot is given as 340 metres.
- A 1 metre wide boundary will increase both the length and width of the rectangular plot.
Step 2: Dimensions of the Original Plot
- Let the length (L) and width (W) of the plot be such that:
2(L + W) = 340
This simplifies to:
L + W = 170 metres.
Step 3: New Dimensions with Boundary
- Including the 1 metre boundary, the new dimensions become:
- New Length = L + 2 (adding 1 metre on both sides)
- New Width = W + 2 (adding 1 metre on both sides)
Step 4: Area Calculation
- Area of the rectangular plot = L * W.
- Area including the boundary = (L + 2)(W + 2).
Expanding this gives:
Area with boundary = LW + 2L + 2W + 4.
- The area of the gardened boundary alone is:
Area of boundary = Area with boundary - Area of original plot
= (LW + 2L + 2W + 4) - LW
= 2L + 2W + 4 = 2 * (L + W) + 4 = 2 * 170 + 4 = 340 + 4 = 344 square metres.
Step 5: Cost Calculation
- The cost of gardening per square metre is Rs. 10.
- Total cost = Area of boundary * Rate per square metre
= 344 * 10 = Rs. 3440.
Conclusion
Thus, the total cost of gardening the 1 metre broad boundary around the rectangular plot is Rs. 3440, making the correct answer option 'C'.
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What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?a)Rs. 3,400/- b)Rs. 1.700/- c)Rs. 3440/-d)Cannot be determined e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?a)Rs. 3,400/- b)Rs. 1.700/- c)Rs. 3440/-d)Cannot be determined e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?a)Rs. 3,400/- b)Rs. 1.700/- c)Rs. 3440/-d)Cannot be determined e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?a)Rs. 3,400/- b)Rs. 1.700/- c)Rs. 3440/-d)Cannot be determined e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?a)Rs. 3,400/- b)Rs. 1.700/- c)Rs. 3440/-d)Cannot be determined e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?a)Rs. 3,400/- b)Rs. 1.700/- c)Rs. 3440/-d)Cannot be determined e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?a)Rs. 3,400/- b)Rs. 1.700/- c)Rs. 3440/-d)Cannot be determined e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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