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Martin is pasting pieces of square colored paper of equal size onto a board 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.

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AlishaG409
So if you divide 72 by 4, you get 18; and then if you divide 90 by 5 you get 18. So those are the smallest possible dividends, and your answer for the largest possible length of the side of each square would be 18 cm. 
MrRoyal

The largest possible length is an illustration of the greatest common factors

The largest possible length is 18 cm

The dimension of the colored paper is given as:

[tex]\mathbf{Length = 72cm}[/tex]

[tex]\mathbf{Width = 90cm}[/tex]

To determine the largest possible length, we simply take the greatest common factors of the dimensions.

So, we have:

[tex]\mathbf{Length = 1 \times 2 \times 2 \times 2 \times 3 \times 3}[/tex]

[tex]\mathbf{Width= 1 \times 2 \times 3 \times 3 \times 5 }[/tex]

The product of the common factors is:

[tex]\mathbf{GCF = 1 \times 2 \times 3 \times 3}[/tex]

Multiply

[tex]\mathbf{GCF = 18}[/tex]

Hence, the largest possible length is 18 cm

Read more about the greatest common factors at:

https://brainly.com/question/11221202

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