document.write( "Question 896837: The amount of paper needed to cover a box top in the shape of a trapezoid is 198cm squared.if the height of the box top is 18cm and the length of one of the bases is 10cm,find the length of the other base. \n" ); document.write( "
Algebra.Com's Answer #543790 by Theo(13342)![]() ![]() You can put this solution on YOUR website! length of the other base is 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area of a trapezoid is equal to 1/2 * h * (b1 + b2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = 18 \n" ); document.write( "b1 = 10 \n" ); document.write( "b2 = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area = 1/2 * 18 * (22) = 9 * 22 = 198\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you solve by plugging what you know in the formula and then solving for what you don't know.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you know that area is 198 and height 18 and one of the bases is 10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "198 = 1/2 * 18 * (b1 + 10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 198 = 9 * (b1 + 10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by 9 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "198/9 = b1 + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 10 from both sides to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "198/9 - 10 = b1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for b1 to get b1 = 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |