Martin is pasting pieces of square colored paper of equal size onto a board measuring 72cm by 90cm. 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.
Answers
Answer:
answer is 18 as the board needs to be fully covered and so the biggest number which divides both the numbers completely and so is the answer
Step-by-step explanation:
Given: Martin is pasting pieces of square colored paper of equal size onto a board measuring 72cm by 90cm. if only whole square pieces are used, and the board is to be completely covered.
To find: The largest possible length of the side of each square colored paper.
Solution:
In order to calculate the largest length of the side of the square colored paper, the maximum factor that is common between 72 and 90 must be found. So, the H.C.F. (Highest Common Factor) of 72 and 90 must be found.
The factors of 72 are 2 and 3 and the factors of 90 are 2, 3 and 5. Thus, 3 is the H.C.F. of 72 and 90. This means that squares of side 3 cm must be used for pasting onto the board.
Therefore, the largest possible length of the side of each square colored paper is 3 cm.