here is ur answer dear frnd
let width = x cm
so length = x - 13 cm
According to question ,
Area = length × breadth
114 = x( x-13)
114= x^2 - 13 x
x^2 -13x - 114 =0
x^2 -19x + 6x -114 =0
x(x-19) + 6(x- 19)= 0
(x-19)(x+6)= 0
take x - 19 = 0
so x = 19
take x+6 = 0
that gives x= -6 ( not possible)
so width = 19 cm
and length = 19- 13 = 6 cm
