document.write( "Question 429336: What is the area of a rectangle with vertices (2,4),(5,4),(5,10), and (2,10) \n" ); document.write( "
Algebra.Com's Answer #298440 by Alan3354(69443) You can put this solution on YOUR website! What is the area of a rectangle with vertices (2,4),(5,4),(5,10), and (2,10) \n" ); document.write( "--------------------- \n" ); document.write( "The diff in x is 3 (5-2) \n" ); document.write( "The diff in y is 6 (10-4) \n" ); document.write( "Area = 3*6 = 18 sq units. \n" ); document.write( "---------------------- \n" ); document.write( "Another way, if the points are randomly spaced: \n" ); document.write( "A B C D A \n" ); document.write( "2 5 5 +2 +2 \n" ); document.write( "4 4 10 10 4 (the +'s are for alignment) \n" ); document.write( "------------- \n" ); document.write( "Add the diagonals from upper left: \n" ); document.write( "2*4 + 5*10 + 5*10 + 2*4 = 116 \n" ); document.write( "Add the diagonals from lower left: \n" ); document.write( "4*5 + 4*5 + 10*2 + 10*2 = 80 \n" ); document.write( "116 - 80 = 36 \n" ); document.write( "Area = 36/2 = 18, same answer \n" ); document.write( "That works for any number of points placed anywhere.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |