document.write( "Question 935359: Two sides of a parallelogram are 570 feet and 410 feet. The measure of the angle between these sides is 166 degrees. Find the area of the parallelogram to the nearest square foot. \n" ); document.write( "
Algebra.Com's Answer #568579 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! adjacent angles of a parallelogram are supplementary: \n" ); document.write( "--- \n" ); document.write( "H = 180 - 166 \n" ); document.write( "H = 14 \n" ); document.write( "--- \n" ); document.write( "find the height (h) of the parallelogram: \n" ); document.write( "--- \n" ); document.write( "angle of the height with the base: \n" ); document.write( "A = 90 \n" ); document.write( "--- \n" ); document.write( "using the law of sines: \n" ); document.write( "a/sinA = h/sinH \n" ); document.write( "410/sin(90) = h/sin(14) \n" ); document.write( "h = sin(14)*410/sin(90) \n" ); document.write( "h = 99.1879771959 \n" ); document.write( "--- \n" ); document.write( "area = bh \n" ); document.write( "area = 570*99.1879771959 \n" ); document.write( "area = 56,537 sq.ft. \n" ); document.write( "--- \n" ); document.write( "Free algebra tutoring live chat: \n" ); document.write( "https://sooeet.com/chat.php?gn=algebra \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations with quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( " |