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The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:
- a)x2+2x- 528 = 0
- b)2x2+x- 528 = 0
- c)2x2+x+ 528 = 0
- d)x2+x- 528 = 0
Correct answer is option 'B'. Can you explain this answer?
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The length of the plot in meters is 1 more than twice its breadth and ...
To solve this problem, let's start by assigning variables to the breadth and length of the rectangle plot.
Let the breadth of the plot be x meters.
According to the given information, the length of the plot is 1 more than twice its breadth.
So, the length of the plot would be (2x + 1) meters.
We know that the area of a rectangle is given by the formula:
Area = Length × Breadth
Substituting the values, we have:
528 = (2x + 1) × x
Now, let's simplify the equation to obtain a quadratic equation.
Expanding the right side of the equation, we have:
528 = 2x^2 + x
Rearranging the equation, we get:
2x^2 + x - 528 = 0
This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 2, b = 1, and c = -528.
Hence, the quadratic equation that represents the given situation is:
2x^2 + x - 528 = 0
Therefore, the correct answer is option 'B'.
Let the breadth of the plot be x meters.
According to the given information, the length of the plot is 1 more than twice its breadth.
So, the length of the plot would be (2x + 1) meters.
We know that the area of a rectangle is given by the formula:
Area = Length × Breadth
Substituting the values, we have:
528 = (2x + 1) × x
Now, let's simplify the equation to obtain a quadratic equation.
Expanding the right side of the equation, we have:
528 = 2x^2 + x
Rearranging the equation, we get:
2x^2 + x - 528 = 0
This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 2, b = 1, and c = -528.
Hence, the quadratic equation that represents the given situation is:
2x^2 + x - 528 = 0
Therefore, the correct answer is option 'B'.
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The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:a)x2+2x- 528 = 0b)2x2+x- 528 = 0c)2x2+x+ 528 = 0d)x2+x- 528 = 0Correct answer is option 'B'. Can you explain this answer?
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The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:a)x2+2x- 528 = 0b)2x2+x- 528 = 0c)2x2+x+ 528 = 0d)x2+x- 528 = 0Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:a)x2+2x- 528 = 0b)2x2+x- 528 = 0c)2x2+x+ 528 = 0d)x2+x- 528 = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:a)x2+2x- 528 = 0b)2x2+x- 528 = 0c)2x2+x+ 528 = 0d)x2+x- 528 = 0Correct answer is option 'B'. Can you explain this answer?.
The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:a)x2+2x- 528 = 0b)2x2+x- 528 = 0c)2x2+x+ 528 = 0d)x2+x- 528 = 0Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:a)x2+2x- 528 = 0b)2x2+x- 528 = 0c)2x2+x+ 528 = 0d)x2+x- 528 = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:a)x2+2x- 528 = 0b)2x2+x- 528 = 0c)2x2+x+ 528 = 0d)x2+x- 528 = 0Correct answer is option 'B'. Can you explain this answer?.
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