<PRE><B>Question 861747</B>
length = l
width = w

2(l+w)=548

l+w= 274................(1)

the diagonal and the sides form a right triangle

apply Pythagoras theorem

l^2+w^2=194^2

(l+w)^2-2lw=194^2

plug l+w
274^2-2lw=194^2

2lw= 274^2-194^2

2lw=37440

lw= 37440/2
lw= 18720

l=18720/w

l+w = 274

w+ 18720/w= 274

w^2+18720=274w

w^2-274w+18720=0

w^2-144w-130w+18720=0

w(w-144)-130(w-144)=0

(w-144)(w-130)=0

w= 144 OR 130

Dimensions are 144 m by 133m







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