Question

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?

Answer 1

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

`image`

Where,

w: width of the rectangle

l: length of the rectangle

Substituting values in the given equation we have:

`image`

From here, we clear the value of l.

We have then:

`image`

`image`

Answer:

the length of Louis' s basement is:

`l = 36 feet`

Answer 2

`x-\ length\\\\ (2)/(3)x-\ width\\\\ Area=\ length*width\\\\ 864=x*(2)/(3)x\\\\ 864=(2)/(3)x^2\ \ \ | divide\ by\ (2)/(3)\\\\ 864*(3)/(2)=x^2\\\\ 432*3=x^2\\\\ 1296=x^2\ \ \ | \sqrt{}\\\\ x=36ft\\\\ Length\ is \ equal\ to\ 36ft.`