Dev arranges 36 identical sweets in a rectangular box (rows x columns). In how many different ways can he arrange them if 36 = 6 x 6 (a square) is counted once and orientations like 4x9 and 9x4 are counted as the SAME shape?

Question

Accepted Answer

5. Unordered factor pairs of 36: 1x36, 2x18, 3x12, 4x9, 6x6. That is 5 distinct rectangles.

Dev arranges 36 identical sweets in a rectangular box (rows $x$ columns).
In how many different ways can he arrange them if $36 = 6 \times 6$ (a square) is counted once and orientations like $4 \times 9$ and $9 \times 4$ are counted as the SAME shape?

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More Class 6 Patterns in Whole Numbers practice

Dev arranges 36 identical sweets in a rectangular box (rows x columns).In how many different ways can he arrange them if 36=6×6 (a square) is counted once and orientations like 4×9 and 9×4 are counted as the SAME shape?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Patterns in Whole Numbers practice

Dev arranges 36 identical sweets in a rectangular box (rows $x$ columns).
In how many different ways can he arrange them if $36 = 6 \times 6$ (a square) is counted once and orientations like $4 \times 9$ and $9 \times 4$ are counted as the SAME shape?