Louis wants to carpet the rectangular floor of his basement. The basement has an area of 867 square feet. The width of the basement is 1 3 its length. What is the length of Louis's basement?

Answer 1

Hi Jadah,

If I am reading this correctly, the width = ¹/₃ of the length?

If this is the case, and we know that the area is 867, the equation is as follows.

Width x Length = 867 ft²

X = length

¹/₃ X x X ₌ 867 ft²

To solve for X we have to multiply both sides by 3.

X² = 2601 ft²

Take the square of each side.

X = 51 ft.

I hope this helps, let me know if you have any questions.

Thank you,

Amal