the ratio of the length and width = 3:2
Step-by-step explanation:
let the length be =x
width be = [tex]\frac{2x}{3}[/tex]
area of a rectangle = length X width
so, x X [tex]\frac{2x}{3}[/tex] = 384
or, [tex]x^{2}[/tex] X 2/3 = 384
or, [tex]x^{2}[/tex] = (384 X 3)/2
= 576
or, x = 24 ( taking square root)
hence, length is 24
width is = 24 X (2/3)
=16
so the ratio of length and width = 24 : 16
= 3:2
