Question

there is a string of length 44 centimetres how many different rectangles with positive integers as length and breadth can be made with string

Answer 1

Solution:-
length or perimeter of the string = 44 cm
Half of the perimeter = 44/2 = 22 cm
Now, we have to find out the number of rectangles that can be made, and sum of whose length and breadth is 22 cm. Keeping in mind that the sides are positive integers in centimeters.
All the possible pairs of length and breadth are 
(21, 1) (20, 2) (19, 3) (18, 4) (17, 5) (16, 6) (15, 7) (14, 8) (13, 9) (12, 10) (11,11)
Hence, 11 rectangles can be made.
Answer.

Answer 2

Answer:

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