Rohan wants to re-lay all the tiles shown as a different rectangle (a 4 × 9 and a 9 × 4 count as the same). Counting the square shown, how many different rectangles can be made with all the tiles?

Question

Accepted Answer

5. There are 6 × 6 = 36 tiles. Factor pairs of 36: 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6 , so 5 rectangles. (9 is the number of factors, not pairs.)

Rohan wants to re-lay all the tiles shown as a different rectangle (a $4 \times 9$ and a $9 \times 4$ count as the same). Counting the square shown, how many different rectangles can be made with all the tiles?

Step-by-Step Solution

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More Class 6 Factors and Multiples practice

Rohan wants to re-lay all the tiles shown as a different rectangle (a 4×9 and a 9×4 count as the same). Counting the square shown, how many different rectangles can be made with all the tiles?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Factors and Multiples practice

Rohan wants to re-lay all the tiles shown as a different rectangle (a $4 \times 9$ and a $9 \times 4$ count as the same). Counting the square shown, how many different rectangles can be made with all the tiles?