Step-by-step explanation:
1 yard = 3 ft
1 yard² = 1 yard × 1 yard = 3 ft × 3 ft = 9 ft²
the floor area of the room is seemingly a rectangle and therefore
48 × 50 = 2400 ft²
we need 2400 ft² of carpet.
the carpet costs $25 per yard² = 9 ft².
so, we need to pay $25 as many times as 9 ft² fit into 2400 ft² :
2400 / 9 = 266.6666666...
the carpet costs therefore
25 × 266.6666666... = $6,666.666666... ≈ $6,666.67
