Question

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the basement is 2 3 its length. What is the length of Louis's basement?

Answer 1

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