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28-04-2015
Mathematics

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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?

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apologiabiology apologiabiology

28-04-2015

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

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