document.write( "Question 1154697: Two congruent parallelograms and a square make up the composite figure with a side length of 5cm. What is the area of the figure? The figure is in the shape of a cube. \n" ); document.write( "
Algebra.Com's Answer #777165 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Clearly the area of the square is 5^2 = 25. \n" ); document.write( "Since the two congruent parallelograms together with the square make a figure that looks like a cube, the angles of each parallelogram are 45 and 135 degrees. \n" ); document.write( "Then, since the side lengths of the parallelogram are 5, the height of each parallelogram is 5/sqrt(2), or (5/2)sqrt(2). \n" ); document.write( "The area of each parallelogram (base times height) is then 5*((5/2)sqrt(2)). \n" ); document.write( "And then the area of the whole figure -- square plus two parallelograms -- is 25+25sqrt(2). \n" ); document.write( " \n" ); document.write( " |