Renu wants to lay tiles on the floor of her house which is 9 m long and 7 m wide. Among the following sizes of tiles, which one should she buy so that the floor is tiled without cutting any tile?
Renu wants to lay tiles on the floor of her house which is 9 m long and 7 m wide. Among the following sizes of tiles, which one should she buy so that the floor is tiled without cutting any tile? Correct Answer 35 cm × 45 cm
We know that 1 m = 100 cm
⇒ 9 m = 900 cm and 7 m = 700 cm
The area of the floor = 900 × 700 = 630000 cm2
From the above options we get,
The area of the tiles
1. 40 × 65 = 2600 cm2
2. 55 × 40 = 2200 cm2
3. 35 × 45 = 1575 cm2
4. 35 × 35 = 1225 cm2
Among these only 1575 completely divides 630000.
∴ 35 cm × 45 cm tiles should be used.
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Feb 20, 2025