Question 1101877
ANY quadrilateral that is formed using the pieces of a triangle that has been cut into pieces has the same area as the triangle.<br>
The given triangle is a right triangle (side lengths 4*8=32, 4*15=60, and 4*17=68; so a scalar multiple of the 8-15-17 Pythagorean Triple).  Its area is one-half base times height, using the two legs as the base and height.  So
{{{(1/2)(60)(32) = 960}}}<br>
960 square centimeters.