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.
a. What is asked for in the problem?
b. What facts are given?
c. How will you solve the problem?
d. What is the answer to the problem?
9. is the largest possible length of the side of each square colored paper.
18. is the largest possible length of the side of each square colored paper.
27 .is the largest possible length of the side of each square colored paper.
Answers
Step-by-step explanation:
a) asked for in problem
to cover a rectangular board with square pieces
b) facts given
length and breadth of rectangular board to be covered with square pieces
c) calculating area of rectangular board, and checking if it is a perfect square. if not, to find the number lower than area which is a perfect square.
d) 18, since 72*90 when divided by 18² will give a whole number ..
a. What is asked for in the problem?
→ It is asked in the problem that we have to find the largest possible length of the side of each square coloured paper .
b. What facts are given
→ There are two square coloured paper
→ Size of measuring is 72 cm by 90 cm
c. How will you solve the problem?
→ we will solve it by finding GCF of 72 and 90
Steps-
72 = 2 × 2 × 2 × 3 × 3
90 = 2 × 3 × 3 × 5
GCF = 2 × 3 × 3 = 18
d. What is the answer to the problem?
1) 9 is the largest possible length of the side of each square colored paper.
2) 18 is the largest possible length of the side of each square colored paper.
3) 27 is the largest possible length of the side of each square colored paper.
→ 2) 18 is the largest possible length of the side of each square colored paper. ✔️