Question 1198311
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From similarity, you have this proportion

    {{{64/100}}} = {{{x^2/36^2}}}


(the ratio of the areas is the same as the ratio of squared lengths of corresponding sides).


Take the square root of two sides

    {{{8/10}}} = {{{x/36}}}.


From this proportion

    x = {{{(8*36)/10}}} = {{{288/10}}} = 28.8 units.    <U>ANSWER</U>
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Solved.