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martin is pasting pieces of square colored paper of equal size on to a boy measuring 72 cm by 90 cm if only whole square pieces are used and the board is to be completely covered find the largest possible length of the side of each square colored paper ​

User Cristiana
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1 Answer

4 votes

Answer:

18x18 cm

Explanation:

This problem translates to the greatest common factor (GCF) of 72 and 90, which is 18.

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 18.

4x18 = 72

5x18 = 90

so with 4x5=20 pieces of paper, the boy can be covered. (Boy?)

User JamesDS
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