Louis wants to carpet the rectangular floor of his basement. the basement has a area of 768 square feet. the width of the basement is 1/3 it’s length. what is the length of louis’s basement

Area=width*length. Let width=x ft, then length=3x ft, given the information in the problem. The area of basement=x*3x=768, 3x^2=768, x^2=256, x=16. The width is 16 feet. Therefore, length=3x=3*16=48 feet.