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Q.

The area of a rectangular plot is 528 m². The length of the plot (in meters) is one more than twice its breadth. Which of the following is the quadratic equation for the given statement?


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a

2 x 2 +x−528=0  

b

2 x 2 −x−528=0  

c

2 x 2 +x+528=0  

d

x 2 +x−528=0   

answer is A.

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Detailed Solution

Given that the area of a rectangular plot is 528 m².
Also, given that the length of the plot (in meters) is one more than twice its breadth.
Let the breadth of the rectangular plot be x.
So, length = 1+2x.
Area of the rectangular plot = length × breadth.
⇒528= 1+2x x    ⇒528=x+2 x 2  
Take the term on left side to the right side of the equation, we get
2 x 2 +x−528=0   The given situation is represented by the quadratic equation 2 x 2 +x−528=0  .
Therefore,  the correct option is 1.
 
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