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in Mathematics by (35.7k points)

(a) Find all the possible dimensions (in natural numbers) of a rectangle with a perimeter 36 cm and find their areas. 

(b) Find all the possible dimensions (in natural numbers) of a rectangle with an area of 36 sq cm, and find their perimeters.

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(a)

Dimensions Area
 in cm in cm2
17 x 1 17
16 x 2 32
15 x 3 45
14 x 4 56
13 x 5 65
12 x 6 72
11 x 7 77
10 x 8 80
9 x 9 81

(b)

Dimensions Perimeter
 in cm  in cm2
36 x 1 74
18 x 2 40
12 x3 30
9 x 4 26
6 x 6 24

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