document.write( "Question 237191: Find the areas of a parallelogram with sides of 12 ft and 8 ft and one angle of 45 degrees. \n" ); document.write( "
Algebra.Com's Answer #174497 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the area of a parallelogram is equal to the base times the height.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "looks like you just to find the height.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since one angle of the parallelogram is equal to 45, then we'll use that angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if your parallelogram is abcd with a on the top left and b on the top right and c on the bottom right and d on the bottom left, then we let our angle = abc which means the bottom right corner of the parallelogram will form the 45 degree angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we let the left and right side of the parallelogram equal 8 feet each.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we let the bottom and top side of the parallelogram equal 12 feet each.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12 feet is the length of the base of the parallelogram.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the height will equal sin(45) * 8 = 5.65685425\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area = 5.65685425 * 12 = 67.88225099 square inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |