U Tin is planning a dinner party in his garden lawn. He invited 22 guests. In order to seat them he needs to set card tables, the size that seats one person on each side. He wants to arrange the tables in a big rectangle shape so that all 22 guests can sit in one large table. What is the smallest number of card tables that U Tin needs to arrange?
Answers
Given : Invited 22 guests.
In order to seat them he needs to set card tables, the size that seats one person on each side.
arrange the tables in a big rectangle shape so that all 22 guests can sit in one large table.
To Find : smallest number of card tables needs to arrange
Solution:
arrange the tables in a big rectangle shape so that all 22 guests can sit in one large table.
=> perimeter of large rectangle = 22 unit
perimeter = 2 ( length + breadth) = 22
=> length + breadth = 11
Possible arrangement :
Length Breadth Tables required
10 1 10 x 1 = 10
9 2 9 x 2 = 18
8 3 8 x 3 = 24
7 4 7 x 4 = 28
6 5 6 x 5 = 30
Minimum 10 tables are required
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