document.write( "Question 341236: the sail on a sailboat is in the shape of a triangle. if the height of the sail is 5 times the length of base and the area is 160 square feet, find the dimensions of the sail.\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #244332 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! Area of a triangle is A=b*h/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You know that the height is 5 times the length of the base:\r \n" ); document.write( "\n" ); document.write( "h = 5b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You also know that the Area is 160 square feet. Put all this info together:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A=b*h/2 \n" ); document.write( "160 = b*5b / 2 \n" ); document.write( "160 = 5b^2 / 2 \n" ); document.write( "320 = 5b^2 \n" ); document.write( "64 = b^2 \n" ); document.write( "b = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So this means the base is 8 feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The height is 5 times the base, so it is 40 feet. \n" ); document.write( " |