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Represent the following situations in the form of quadratic equations: (i) The area of a rectangular plot is 528 m2 . The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

 Represent the following situations in the form of quadratic equations: (i) The area of a rectangular plot is 528 m2 . The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear student

Let us consider,
Breadth of the rectangular plot = x m
Thus, the length of the plot = (2x + 1) m.
As we know,
Area of rectangle = length × breadth = 528 m^2
Putting the value of length and breadth of the plot in the formula,
we get, (2x + 1) × x = 528
⇒ 2x^2 + x =528
⇒ 2x^2 + x - 528 = 0
Therefore, the length and breadth of plot, satisfies the quadratic equation,
2x2 + x - 528 = 0

Thanks

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