Question

The area of a rectangular patio is 384 square feet.

Answer 1

the ratio of the length and width = 3:2

Step-by-step explanation:

let the length be =x

width be = $\frac{2x}{3}$

area of a rectangle = length X width

so, x X $\frac{2x}{3}$ = 384

or, $x^{2}$ X 2/3 = 384

or, $x^{2}$ = (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