20.1k views
10 votes
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 2,000 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?

User Taseenb
by
4.6k points

1 Answer

11 votes

Answer: 50 feet

Explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

x² = 2000/0.8

x = ✓2500

x = 50

Therefore, the length is 50feet

User Lawrence Woodman
by
4.9k points