Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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 2/3 its length. What is the length of Louis' s basement?

Sagot :

luana
[tex]x-\ length\\\\ \frac{2}{3}x-\ width\\\\ Area=\ length*width\\\\ 864=x*\frac{2}{3}x\\\\ 864=\frac{2}{3}x^2\ \ \ | divide\ by\ \frac{2}{3}\\\\ 864*\frac{3}{2}=x^2\\\\ 432*3=x^2\\\\ 1296=x^2\ \ \ | \sqrt{}\\\\ x=36ft\\\\ Length\ is \ equal\ to\ 36ft.[/tex]
carlosego

By definition, the area of a rectangle is given by:

[tex] A = w * l
[/tex]

Where,

w: width of the rectangle

l: length of the rectangle

Substituting values in the given equation we have:

[tex] 864 = (\frac{2}{3} l) * (l)
[/tex]

From here, we clear the value of l.

We have then:

[tex] l ^ 2 = (\frac{3}{2}) * (864)

l ^ 2 = 1296
[/tex]

[tex] l = \sqrt{1296}

l = 36
[/tex]

Answer:

the length of Louis' s basement is:

[tex] l = 36 feet [/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.