Cutting a Rectangular board

Geometry Level pending

Simon wants to cut a rectangular board into congruent square pieces. If the board is 18 18 inches by 30 30 inches. What is the least number of square pieces he can cut without wasting any of the board?

5 4 15 6 8 7

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Marta Reece
Jul 31, 2017

18 = 2 × 3 × 3 18=2\times3\times3

30 = 2 × 3 × 5 30=2\times3\times5

The largest number that fits evenly into both is 2 × 3 = 6 2\times3=6

18 6 = 3 \dfrac{18}6=3

30 6 = 5 \dfrac{30}6=5

So there will be 3 × 5 = 15 3\times5=\boxed{15} squares.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Thank you for the nice solution. That is exactly how we solve it. I am not sure if there is another solution.

Hana Wehbi - 3 years, 10 months ago

Did it exactly the same way. Nice!

Peter van der Linden - 3 years, 10 months ago

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