document.write( "Question 1210163: Solve for the area of the composite figure.
\n" ); document.write( "https://ibb.co/cXV52NVm
\n" ); document.write( "If an isosceles trapezoid CDFG was added below, where the height was the same as the triangle above and the bases had a length of 12 and 24, then what is the area of the new composite figure?
\n" ); document.write( "https://ibb.co/jZWQ628k
\n" ); document.write( "

Algebra.Com's Answer #851426 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The figure APPEARS to be a kite plus a triangle. But there is nothing in either your written question or on the referenced figure that tells us so.

\n" ); document.write( "We don't even know whether the two segments that APPEAR to be perpendicular to each other in fact are perpendicular.

\n" ); document.write( "Without a description of the figure in your text or on the figure, we would only be guessing at the answer.

\n" ); document.write( "Re-post, defining the problem clearly.

\n" ); document.write( "------------------------------------------------------------------------

\n" ); document.write( "Tutor Edwin has solved the problem assuming that the part of the figure that looks like a kite is in fact a kite. Before the trapezoid was added, the area of the composite figure was 132.

\n" ); document.write( "When the trapezoid is added, Edwin uses a clever way of finding the area of the trapezoid by dividing it into 3 congruent triangles.

\n" ); document.write( "The area of the trapezoid is found more easily using the standard formula for the area of a trapezoid: height times average of the bases. In this problem that is

\n" ); document.write( "\"%288%29%28%2824%2B12%29%2F2%29=%288%29%2818%29=144\"

\n" ); document.write( "And then the total area of the new composite figure is 132+144 = 276.

\n" ); document.write( "
\n" ); document.write( "
\n" );