Question

how many rectangles can be drawn with 36 cm as the perimeter,given the sides are positive integer in cm.
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Answer 1

Explanation:

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.

Answer 2

Answer:

17

Step-by-step explanation:

so the probable sides can be (1,17) (2,16) (3,15) (4,14) (5,13) (6,12) (7,11) (8,10) (9,9) (10,8) (11,7) (12,6) (13,5) (14,4) (15,3) (16,2) (17,1)