Q. 614.5( 2 Votes )

The perimeter of a rectangular plot is 62 m and its area is 228 sq meters. Find the dimensions of the plot.

Answer :

Let the length and breadth of rectangular plot be x and y respectively.

Perimeter = 2(x + y) = 62 – – – – – (1)


Area = xy = 228


y = 228/x


Putting the value of y in 1




taking LCM


x2 + 228 = 31x cross multiplying


x2 – 31x + 288 = 0


Using the splitting middle term – the middle term of the general equation is divided in two such values that:


Product = a.c


For the given equation a = 1 b = – 31 c = 288


= 1.288 = 288


And either of their sum or difference = b


= – 31


Thus the two terms are – 19 and – 12


Difference = – 19 – 12 = – 31


Product = – 19. – 12 = 288


x2 – 19x – 12x + 288 = 0


x(x – 19) – 12(x – 19) = 0


(x – 19) (x – 12) = 0


x = 19 or x = 12


if x = 19



if x = 12



length is 19m and breadth is 12m


length is 12m and breadth is 19m


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Get To Know About Quadratic Formula42 mins
Quiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for Foundation54 mins
Nature of Roots of Quadratic EquationsFREE Class
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Champ Quiz | Quadratic Equation33 mins
Balance the Chemical Equations49 mins
Understand The Concept of Quadratic Equation45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses