Question 1148866
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Notice that  {{{32^2}}} + {{{60^2}}} = 4624 = {{{68^2}}},


so the triangle is a right angled triangle.


Hence, its area is half of the product of the lengths of its legs


    area = {{{(1/2)*32*60}}} = 960   = 16*60 = 16*4*15 = {{{4^3*15}}} = {{{2^6*15}}}.


Then the side length of the square is  {{{sqrt(960)}}} = {{{sqrt(2^6*15)}}} ={{{2^3*sqrt(15)}}} = {{{8*sqrt(15)}}} = 30.984 cm^2  (approximately).    <U>ANSWER</U>
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Solved.