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Verified Answer :

area=legnth times width

36 and 1/4=8 and 3/4 times width

conver to imrpoer
36 and 1/4=145/4
8 and 3/4=35/4

145/4=35/4 times x
times both sides by 4
145=35 times x
divide both sides by 35
29/7=x
4 and 1/7=x

answer is 4 and 1/7=legnth