Hi,

     .

P =2L + 2b = 24m

L + b = 12m

L = 12m-b

...

A = Lb

(12-b)b = 27m^2

b^2 -12b + 27 = 0

(b-9)(b-3)= 0

b = 3m 0r 9m and L = 9m 0r 3m

Dimensions are 3m by 9m 

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