Question

How many rectangles can be drawn with 36 as perimeter,given that the sides are positive integers in cm?

Answer 1

just take length as 8cm and breadth as 6cm

Answer 2

answer

• Perimeter = 36

• ⇒ 2 ( l + w ) = 36

• ⇒ l + w = 18

Since length and width are positive integers in centimeters. Therefore, possible dimensions are :

• ( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.

• Hence, there are 9 rectangles.

$hope \: its \: help \: u$