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Q.

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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a

2x2+x+528=0

b

x2+2x+528=0

c

2x2+x=528

d

x2+2x=528

answer is A.

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Detailed Solution

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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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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 ?