Question

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?

Answer 1

Answer:

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