Q:
How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?
Answer & Explanation
Answer: B) 9
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.
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