Final answer:
To find the number of tiles needed to cover a rectangular region, calculate the area of both the tile and the region, then divide the region's area by the tile's area. The region's area is 72800cm² and the tile's area is 91cm², which gives us 800 tiles needed, not matching any of the provided options.
Step-by-step explanation:
To find out how many tiles are needed to cover a rectangular region, we need to calculate the area of both the tile and the region and then see how many times the area of the tile fits into the area of the region. First, we calculate the area of a single tile which is the length times the breadth:
13cm * 7cm = 91cm2.
Then, we calculate the area of the rectangular region:
520cm * 140cm = 72800cm2.
Lastly, we divide the area of the rectangular region by the area of a single tile to get the number of tiles needed:
72800cm2 / 91cm2 = 800 tiles.
Thus, neither of the options A (520 tiles), B (40 tiles), C (1600 tiles), nor D (80 tiles) is correct. The correct answer is that 800 tiles are needed to cover the rectangular area.