Question 1199847
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The large triangle has the leg 7 meters and the hypotenuse 25 meters.


Hence, its other leg is  {{{sqrt(25^2-7^2)}}} = 24 meters.


The area of the large triangle is  {{{(1/2)*7*24}}} = 7*12 = 84 m^2.


The small triangle is similar to the large triangle with the similarity coefficient 4:7, or  {{{4/7}}}
(from the smaller to the larger).


Hence, the area of the smaller triangle is  {{{(4/7)^2*84}}} = {{{(16*12)/7}}} = {{{192/7}}} = 27 {{{3/7}}} = 27.43  m^2  (rounded).    <U>ANSWER</U>
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Solved.