Final answer:
To determine the number of bricks needed to lay the path, the total area of the path (120m long by 2.4m wide) is calculated in cm² and divided by the area of one brick (24cm by 15cm). The correct number of bricks required is 8000, which is not listed in the provided multiple-choice options.
Step-by-step explanation:
The question asks how many bricks are required to lay a path with given dimensions.
The path is 120m long and 2.4m wide.
A single brick's dimensions are provided as 24cm in length and 15cm in width.
To solve this, we first convert the path's measurements to centimeters, since the brick's size is given in centimeters.
120m = 12000cm (since 1m=100cm)
2.4m = 240cm (since 1m=100cm)
Now, the total area that needs to be covered by bricks is:
Path area = Path length × Path breadth
= 12000cm × 240cm
= 2880000cm²
Next, the area covered by one brick is:
Brick area = Brick length × Brick width
= 24cm × 15cm
= 360cm²
To find the number of bricks required, we divide the total area of the path by the area of one brick:
Number of bricks = Path area / Brick area
= 2880000cm² / 360cm²
= 8000 bricks
Therefore, 8000 bricks are needed to lay the path.
The multiple-choice options provided in the question do not include the correct answer.