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A rectangular garden of length (2x3 + 5x2 – 7) m has the perimeter (4x3 – 2x2 + 4) m. Find the breadth of the garden.
- a)(6x2 – 9) m
- b)(–6x2 + 9) m
- c)(2x3 – 7x2 + 11) m
- d)(6x3 + 7x2 + 9) m
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A rectangular garden of length (2x3 + 5x2 – 7) m has the perimet...
Length of the garden = (2x3 + 5x2 – 7) m
Perimeter of the garden = 2 × (length + breadth)
∴ 4x3 - 2x2 + 4 = 2(2x3 + 5x2 – 7 + breadth)
⇒ 2x3 – x2 + 2 = (2x3 + 5x2 – 7) + breadth
So, breadth of the rectangle
= 2x3 – x2 + 2 – 2x3 – 5x2 + 7 = (–6x2 + 9) m
Perimeter of the garden = 2 × (length + breadth)
∴ 4x3 - 2x2 + 4 = 2(2x3 + 5x2 – 7 + breadth)
⇒ 2x3 – x2 + 2 = (2x3 + 5x2 – 7) + breadth
So, breadth of the rectangle
= 2x3 – x2 + 2 – 2x3 – 5x2 + 7 = (–6x2 + 9) m
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Community Answer
A rectangular garden of length (2x3 + 5x2 – 7) m has the perimet...
Given information:
- Length of the garden = 2x^3 + 5x^2 - 7 m
- Perimeter of the garden = 4x^3 - 2x^2 + 4 m
Calculating the perimeter of the garden:
- Perimeter of a rectangle = 2(length + breadth)
- Given perimeter = 4x^3 - 2x^2 + 4
- Using the formula, we get: 4x^3 - 2x^2 + 4 = 2(2x^3 + 5x^2 - 7)
- Solving the equation, we get: 4x^3 - 2x^2 + 4 = 4x^3 + 10x^2 - 14
- Simplifying further, we get: -2x^2 + 4 = 10x^2 - 14
- Rearranging the terms, we get: 12x^2 = 18
- Dividing by 12 on both sides, we get: x^2 = 1.5
- Taking the square root, we get: x = ±√1.5
Finding the breadth of the garden:
- Substituting x = √1.5 into the length equation, we get: 2(√1.5)^3 + 5(√1.5)^2 - 7
- Simplifying, we get: 2(√3√1.5) + 5(1.5) - 7
- Further simplifying, we get: 2√4.5 + 7.5 - 7
- Simplifying more, we get: 4√1.5 + 0.5
- Finally, we get: 4√1.5 + 0.5 = 4(√1.5) + 0.5 = 6 - 0.5 = 5.5
Therefore, the breadth of the garden is 5.5m, which corresponds to option B.
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A rectangular garden of length (2x3 + 5x2 – 7) m has the perimeter (4x3 – 2x2 + 4) m. Find the breadth of the garden.a)(6x2 – 9) mb)(–6x2 + 9) mc)(2x3 – 7x2 + 11) md)(6x3 + 7x2 + 9) mCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A rectangular garden of length (2x3 + 5x2 – 7) m has the perimeter (4x3 – 2x2 + 4) m. Find the breadth of the garden.a)(6x2 – 9) mb)(–6x2 + 9) mc)(2x3 – 7x2 + 11) md)(6x3 + 7x2 + 9) mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular garden of length (2x3 + 5x2 – 7) m has the perimeter (4x3 – 2x2 + 4) m. Find the breadth of the garden.a)(6x2 – 9) mb)(–6x2 + 9) mc)(2x3 – 7x2 + 11) md)(6x3 + 7x2 + 9) mCorrect answer is option 'B'. Can you explain this answer?.
A rectangular garden of length (2x3 + 5x2 – 7) m has the perimeter (4x3 – 2x2 + 4) m. Find the breadth of the garden.a)(6x2 – 9) mb)(–6x2 + 9) mc)(2x3 – 7x2 + 11) md)(6x3 + 7x2 + 9) mCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A rectangular garden of length (2x3 + 5x2 – 7) m has the perimeter (4x3 – 2x2 + 4) m. Find the breadth of the garden.a)(6x2 – 9) mb)(–6x2 + 9) mc)(2x3 – 7x2 + 11) md)(6x3 + 7x2 + 9) mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular garden of length (2x3 + 5x2 – 7) m has the perimeter (4x3 – 2x2 + 4) m. Find the breadth of the garden.a)(6x2 – 9) mb)(–6x2 + 9) mc)(2x3 – 7x2 + 11) md)(6x3 + 7x2 + 9) mCorrect answer is option 'B'. Can you explain this answer?.
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