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Question

For a rectangular field of area 3 sq. units, the length is one unit more than twice the breadth ‘x’. The quadratic equation representing the situation is: 


  1. x22x+6=0  

  2. x22x+3=0   

  3. 2x2+x3=0

  4. 2x2+x6=0


Solution

The correct option is C

2x2+x3=0


Area of rectangle = length×breadth

Given, length =(2×breadth+1)

Let the breadth of the field be x.

Length of the field= 2x+1

Area of the rectangular field= x(2x+1)=3

 2x2+x=3

2x2+x3=0 

We get the equation 2x2+x3=0

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