x width

x+.9 length

.36m² Area

length × width=area

(x+.9)(x)=.36

x²+.9x=.36

x²+.9x-.36=0

(x+1.2)(x-.3)=0

x= -1.2 ; x=.3 use positive value of x

width x= .3 m

length x+.9=.3+.9= 1.2 m

Area= length × width

.36= .3 × 1.2

.36= .36 ✔

the Length and width are 1.2m and .3m respectively