Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the bas

Question

3 years ago

9

ement is 2 3 its length. What is the length of Louis's basement?

1 answer:

julia-pushkina [17] · Answer 1 · 2022-06-24T19:57:59+03:00

6 0

Answer: 42 feet

Step-by-step explanation:

Let the length be x

Therefore, width = 2/3x

Area = Length × Width

Therefore, x × 2/3x = 1176

2/3x² = 1176

Divide both side by 2/3

x² = 1176 ÷ 2/3

x² = 1176 × 3/2

x² = 1764

x = ✓1764

x = 42

The length is 42 feet