A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangular floor. Calculate the area of the floor
Answer Details
Let's assume that the rectangular floor has a length of L meters and a width of W meters. We know that the rectangular carpet covers 5% of the rectangular floor, which means that the area of the carpet is 5% of the area of the floor. We can write this as an equation:
2.5 × 2.4 = 0.05 × L × W
Multiplying the left-hand side, we get:
6 = 0.05LW
Dividing both sides by 0.05, we get:
120 = LW
Therefore, the area of the rectangular floor is LW, which is 120 square meters. Hence, the area of the floor is 120 m², which is the third option.