Louis wants to carpet the rectangular floor of his basement. The basement has an area o f605 square feet. The width of the basement is 1/5 its length. What is the length of Louis's basement?

Length = 55 ft

Step-by-step explanation:

Given:

Area of rectangular floor = 605ft²

Length = x

Width = 1/5x

Formula for area of rectangular floor = Length * width

Put the given into the formula.

605 ft² = x * 1/5x

605 ft² = x²/5

multiplying both sides by 5

605 ft² * 5 = x²/5 * 5

x² = 605 ft² * 5

= 3025 ft²

x = √3025 ft²

x = 55 ft

Put x into the unknown above.

Length = x

Width = 1/5x

Length = 55 ft

Width = (1/5) * 55 = 11 ft