The area of a rectangular plot is 528 sq.m. The length of the plot (in metres) is one more than twice its breadth. Which of the following quadratic equation can be formed in order to find the length and breadth of the plot ?

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$2 x^{2} + x = 528$

$2 x^{2} + x + 528 = 0$

$x^{2} + 2 x = 528$

$x^{2} + 2 x + 528 = 0$

answer is A.

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Detailed Solution

Let breadth of the given plot be 'x'.

As per given condition,

length = 2x +1

Area of rectangular plot = 528 ----- (Given) ----- (1)

l × b = Area of rectangular plot ------ (2)

l × b = 528 ----- From (1) & (2)

(2x + 1) × (x) = 528

2x² + x = 528

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