CMA Foundation · Fundamentals of Business Mathematics and Statistics · Quadratic Equations
A rectangular plot of Mehta Traders has length 5 m more than its breadth, and its area is 266 square metres. What is the length of the plot?
The length is 19 m. With breadth x, x(x+5)=266 gives x^2+5x-266=0, whose positive root is 14, so the length is 14+5=19. Multiplying 14 by 19 gives 266, confirming the area.
- A14 m
- B19 mCorrect
- C21 m
- D24 m
Explanation
Let breadth be x, so x(x+5)=266, i.e. x^2+5x-266=0. Discriminant = 25+1064=1089, root 33, so x=(-5+33)/2=14. Length = 14+5 = 19 m. Check: 14×19=266. Option 14 m is the breadth, not the length.
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