Question

There is a string of length 44cm.How many different rectangles with positive integers as length and breadth can be made with this string?

Answer 1

Step-by-step explanation:

half of the perimeter =44/2=22cm now, we have to find out the number of rectangle that can be made, and sum of whose lengh and breadth is 22cm.

keeping in mind thatthe side are positive integers in centimetre.all the possible pairs of length and breadth are (21, 1), (20, 2), (19, 3), (18, 4), (17, 5), (16, 6), (15, 7), (14, 7), (13, 9), (12, 10),(11, 11)

hence there we can make are 11 rectangle