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


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