Answer for louis wants to carpet the rectangular floor of his basement. the basement has an area of 864 square feet. the width of the basement is 2/3its length. what is the length of louis's basement?

Area=legnth times width

width=2/3 legnth

w=2/3l

a=lw

subsitute

a=l (2/3l)

a=864

864=2/3l^2

multiply both sides by 3/2 to clear fraction

2592/2=l^2

1296=l^2

square root both sides

36=legnth

width=2/3 legnth

width=2/3 times 36

width=72/3=24

legnth = 36 feet

width=24 feet