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What is the area of rectangular field?
I. The perimeter of the field is 110 metres.
II. The length is 5 metres more than the width.
III. The ratio between length and width is 6 : 5 respectively.
I. The perimeter of the field is 110 metres.
II. The length is 5 metres more than the width.
III. The ratio between length and width is 6 : 5 respectively.
- a)I and II only
- b)Any two of the three
- c)All I, II and III
- d)I, and either II or III only
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
What is the area of rectangular field?I. The perimeter of the field is...
I. 2(l + b) = 110 l + b = 55
II. l = (b + 5) l – b = 5
III. l/b = 6/5 5l – 6b = 0
These are three equations in l and b. We may solve them pair-wise.
∴ Any two of the three will give the answer.
∴ Correct answer is (b).
II. l = (b + 5) l – b = 5
III. l/b = 6/5 5l – 6b = 0
These are three equations in l and b. We may solve them pair-wise.
∴ Any two of the three will give the answer.
∴ Correct answer is (b).
Most Upvoted Answer
What is the area of rectangular field?I. The perimeter of the field is...
Statement I: The perimeter of the field is 110 metres.
Statement II: The length is 5 metres more than the width.
Statement III: The ratio between length and width is 6 : 5 respectively.
To find the area of a rectangular field, we need either the length and width directly or enough information to calculate them. Let's analyze each statement to see if we can determine the length and width of the field.
Statement I: The perimeter of the field is 110 metres.
- Perimeter of a rectangle = 2(length + width)
- Since we are given the perimeter as 110 metres, we can write the equation as:
2(length + width) = 110
- However, this equation cannot be solved to find the length and width directly. Therefore, Statement I alone is not sufficient to find the area of the field.
Statement II: The length is 5 metres more than the width.
- Let's assume the width of the field as 'x' metres.
- According to Statement II, the length would be 'x + 5' metres.
- However, we still don't have enough information to directly calculate the length and width. Therefore, Statement II alone is not sufficient to find the area of the field.
Statement III: The ratio between length and width is 6 : 5 respectively.
- Let's assume the width of the field as '5x' metres (since the ratio is given as 6 : 5).
- According to Statement III, the length would be '6x' metres.
- Again, we don't have enough information to directly calculate the length and width. Therefore, Statement III alone is not sufficient to find the area of the field.
Combining Statements II and III:
- From Statement II, we know that the length is 5 metres more than the width.
- From Statement III, we know that the ratio of length to width is 6 : 5.
- Combining these two statements, we can set up the equation:
x + 5 = (6/5)x
- Solving this equation, we can find the value of 'x' (width) and then calculate the length.
- With the length and width known, we can calculate the area of the field.
Therefore, combining Statements II and III is sufficient to find the area of the rectangular field. Thus, the correct answer is option 'B' - Any two of the three statements.
Statement II: The length is 5 metres more than the width.
Statement III: The ratio between length and width is 6 : 5 respectively.
To find the area of a rectangular field, we need either the length and width directly or enough information to calculate them. Let's analyze each statement to see if we can determine the length and width of the field.
Statement I: The perimeter of the field is 110 metres.
- Perimeter of a rectangle = 2(length + width)
- Since we are given the perimeter as 110 metres, we can write the equation as:
2(length + width) = 110
- However, this equation cannot be solved to find the length and width directly. Therefore, Statement I alone is not sufficient to find the area of the field.
Statement II: The length is 5 metres more than the width.
- Let's assume the width of the field as 'x' metres.
- According to Statement II, the length would be 'x + 5' metres.
- However, we still don't have enough information to directly calculate the length and width. Therefore, Statement II alone is not sufficient to find the area of the field.
Statement III: The ratio between length and width is 6 : 5 respectively.
- Let's assume the width of the field as '5x' metres (since the ratio is given as 6 : 5).
- According to Statement III, the length would be '6x' metres.
- Again, we don't have enough information to directly calculate the length and width. Therefore, Statement III alone is not sufficient to find the area of the field.
Combining Statements II and III:
- From Statement II, we know that the length is 5 metres more than the width.
- From Statement III, we know that the ratio of length to width is 6 : 5.
- Combining these two statements, we can set up the equation:
x + 5 = (6/5)x
- Solving this equation, we can find the value of 'x' (width) and then calculate the length.
- With the length and width known, we can calculate the area of the field.
Therefore, combining Statements II and III is sufficient to find the area of the rectangular field. Thus, the correct answer is option 'B' - Any two of the three statements.
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What is the area of rectangular field?I. The perimeter of the field is 110 metres.II. The length is 5 metres more than the width.III. The ratio between length and width is 6 : 5 respectively.a)I and II onlyb)Any two of the threec)All I, II and IIId)I, and either II or III onlyCorrect answer is option 'B'. Can you explain this answer?
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What is the area of rectangular field?I. The perimeter of the field is 110 metres.II. The length is 5 metres more than the width.III. The ratio between length and width is 6 : 5 respectively.a)I and II onlyb)Any two of the threec)All I, II and IIId)I, and either II or III onlyCorrect answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the area of rectangular field?I. The perimeter of the field is 110 metres.II. The length is 5 metres more than the width.III. The ratio between length and width is 6 : 5 respectively.a)I and II onlyb)Any two of the threec)All I, II and IIId)I, and either II or III onlyCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the area of rectangular field?I. The perimeter of the field is 110 metres.II. The length is 5 metres more than the width.III. The ratio between length and width is 6 : 5 respectively.a)I and II onlyb)Any two of the threec)All I, II and IIId)I, and either II or III onlyCorrect answer is option 'B'. Can you explain this answer?.
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