If a room requires 23.2 square yards of carpeting, what is the area of the floor in ft²?
From the problem we know that: 3 ft = 1 yd
Then we can calculate the relationship between ft² and yd². We can square both sides of the relationship that we were given.
3 ft = 1 yd
(3 ft)² = (1 yd)²
9 ft² = 1 yd²
Using that conversion, we can convert the are of the floor from yd² to ft².
area = 23.2 yd² * 9 ft²/(1 yd²) = 208.8 ft²
area = 208.8 ft² = 209 ft²
Answer: The are of the floor in ft² is 209 ft².