Step-by-step explanation:
let the width of the rectangle be x cm
then length of the rectangle =(x-2) cm
area of the rectangle= 120cm²
x(x-2)=120
x²-2x-120=0
x²-12x+10x-120=0
x(x-12)+10(x-12)=0
(x-12)(x+10)=0
x=12 or,x=-10
length can never be negative
therefore, x=12
length is 10cm
and width=12cm
