State true or false.

The number tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region, whose length and breadth are 70 cm and 36 cm respectively, will be 24.

The statement given is false: the correct number of tiles needed is 42, not 24.

To find how many tiles fit a rectangular region, divide the area of the rectangular region by the area of one tile, assuming the tiles cover the region exactly without gaps or overlaps.

Both the tiles and the region are rectangles, so this method applies directly.

Compute Areas

• Area of one tile: 12 × 5 = 60 cm²
• Area of the region: 70 × 36 = 2520 cm²

Number of Tiles Required

Number of tiles = 2520 ÷ 60 = 42. Therefore, the required number of tiles is 42.

Why 24 is Incorrect

Using 24 tiles would imply a covered area of 24 × 60 = 1440 cm², which is less than the region's area of 2520 cm². Thus, 24 tiles cannot cover the entire region.

The correct quotient 2520 ÷ 60 = 42 gives the actual number of tiles needed.