**The area of a small rectangular plot is 84 m2. If the difference between its length and the breadth is 5 m; find its perimeter.**

###### Answers:

Area of a rectangular plot = 84 m^{2}

Let breadth = x m

Then length = (x + 5) m

Area = l x b

x(x + 5) = 84

x^{2} + 5x – 84 = 0

=> x^{2} + 12x – 7x – 84 = 0

=> x(x + 12) – 7(x + 12) = 0

=> (x + 12) (x – 7) = 0

Either x + 12 = 0, then x = -12 which is not possible being negative

or x – 7 = 0, then x = 7

Length = x + 5 = 7 + 5 = 12m

and breadth = x = 7 m

Perimeter = 2(l + b) = 2(12+ 7) = 2 x 19 m = 38 m