Five identical rectangles are arranged to form a larger rectangle $pqrs$, as shown. the area of $pqrs$ is $4000$. what is the length, $x$, rounded off to the nearest integer?

Let x be length and y be width

from figure

2x = 3y ... (1)

area = (x+y) (2x) ... (2)

from equation 1 we get

y=2x/3

putting this value in equation 2

(x+2/3x) (2x) = area

now given area=4000

(x+2/3x) (2x) = 4000

solving

x^2 (10/3) = 4000

x^2 = 1200

x=1200^ (1/2)

x=34.64

x=35cm