how many different rectangles with intregal measurements can be drawn with perimeter is 32 CM
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Perimeter = 38
⇒ 2 ( l + w ) = 38
⇒ l + w = 19
Since length and width are positive integers in centimeters. Therefore, possible dimensions are :
( 1, 18 )cm , ( 2, 17 ) cm , ( 3, 16 ) cm, (4 , 15) cm, ( 5,14) cm, ( 6, 13) cm , ( 7, 12) cm, ( 8, 11 ) cm, ( 9, 10) cm.
Hence, there are 9 rectangles.
⇒ 2 ( l + w ) = 38
⇒ l + w = 19
Since length and width are positive integers in centimeters. Therefore, possible dimensions are :
( 1, 18 )cm , ( 2, 17 ) cm , ( 3, 16 ) cm, (4 , 15) cm, ( 5,14) cm, ( 6, 13) cm , ( 7, 12) cm, ( 8, 11 ) cm, ( 9, 10) cm.
Hence, there are 9 rectangles.
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