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