Louis wants to carpet the rectangular floor of his basement. the basement has an area of 1,960 square feet. the width of the basement is 2/5 its length. what is the length of louis's basement?

Area = l * w
w = 2/5 l
Area = l * 2/5l
we are given that the are is 1960
1960 = l * 2/5 l
1960 = (2l^2)/5
multiply both sides by 5
9800 = 2l^2
divide both sides by 2
4900 = l^2
take the square root of both sides
70 = l

The length is 70 feet.

we can find the width now that we found the length
w = 2/5 l
w = 2/5(70)
w = 28

Hope this helps :)

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