document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194934>Question 1194934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pentagon is formed by adjoining a square to the base of an isosceles triangle. If the legs of the triangle have length 5 and the pentagon has perimeter 34, what is the area of the pentagon? </SPAN>\n" );
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document.write( "Let x be the side length of the square.<br><BR>\n" );
document.write( "Then the perimeter of the pentagon is 3(x)+2(5)=34, which makes the side length of the square 8.<br><BR>\n" );
document.write( "If you cut the isosceles triangle in half, you get two congruent right triangles each with one leg 8/2=4 and hypotenuse 5, making the other leg of each of those triangles 2.<br><BR>\n" );
document.write( "So the area of the isosceles triangle (half base times height) is (1/2)(8)(3)=12.<br><BR>\n" );
document.write( "The area of the square is 8*8=64, so the area of the pentagon is 64+12=76.<br><BR>\n" );
document.write( "ANSWER: 76<br><BR>\n" );
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