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Question
Manoj had made a new house. He wants to lay tiles on the floor. The size of the room is 9 feet × 12 feet. In the market, there are three kinds of square tiles: 1 foot × 1 foot, 2 feet × 2 feet and 3 feet × 3 feet. Which size of tile should he buy for his room, so that he can lay it without cutting?
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Solution
2 is not a factor of 9 feet which is the width of the room.
1 and 3 are factors of both 9 and 12.
Hence, Manoj can buy tiles of 1 foot × 1 foot or 3 feet × 3 feet.
These tiles can be laid without cutting.
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Rani, Geetha, and Naseema live near each other. The distance from their house to the road is 90 feet. They decided to tile the path to the road. They all bought tiles of different designs and lengths. Rani the shortest tile, Geetha bought the one and Naseema bought the longest one. If they could tile the path without cutting any of the tiles what is the size of the tiles each has bought? Suggest 3 different solutions. Explain how you get this answer.
Match the items in column 1 with the items in column 2.
|
|
Column 1 |
|
Column 2 |
|
(i) |
35 |
(a) |
Multiple of 8 |
|
(ii) |
15 |
(b) |
Multiple of 7 |
|
(iii) |
16 |
(c) |
Multiple of 70 |
|
(iv) |
20 |
(d) |
Factor of 30 |
|
(v) |
25 |
(e) |
Factor of 50 |
|
|
|
(f) |
Factor of 20 |
