Answered

Get personalized answers to your unique questions on IDNLearn.com. Our community is here to provide detailed and trustworthy answers to any questions you may have.

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 :

Luanaidn
[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]
Carlosegoidn

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]

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.