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perimeter 2(l+b)=110

we know that

(l+b)^2=(l-b)^2+4lb

55^2=(l-b)^2+4*750

3025=(l-b)^2+3000

(l-b)^2=3025-3000

(l-b)^2=25

(l-b)=5

so,

solve equations

l+b=55 and l-b=5

l=30

substitute in any of the above equations u will get

b=25

therefore the dimensions of the farm are 30m and 25m