document.write( "Question 63318: Please solve:
\n" ); document.write( "A trapezoid is formed by lines with the following equations:
\n" ); document.write( "2x+4y=16, x=4, x=0, y=0
\n" ); document.write( "Find the area of the trapezoid. Show all work and explain.
\n" ); document.write( "

Algebra.Com's Answer #44358 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
Please solve:
\n" ); document.write( "A trapezoid is formed by lines with the following equations:
\n" ); document.write( "AB SAY 2x+4y=16,BC SAY x=4,DA SAY x=0,CD SAY y=0
\n" ); document.write( "Find the area of the trapezoid. Show all work and explain.
\n" ); document.write( "SINCE 2 OPPOSITE SIDES SHOULD BE PARALLEL , THEY ARE X=4 AND X=0 IN THE ABOVE.
\n" ); document.write( "A IS INTERSECTION OF AB AND DA...HENCE SOLVING AB AND DA
\n" ); document.write( "2X+4Y=16
\n" ); document.write( "X=0
\n" ); document.write( "WE GET
\n" ); document.write( "4Y=16
\n" ); document.write( "Y=4
\n" ); document.write( "HENCE A IS (0,4)
\n" ); document.write( "SIMILARLY BIS INTERSECTION OF BC AND AB
\n" ); document.write( "B IS (4,2)
\n" ); document.write( "C IS INTERSECTION F BC AND CD
\n" ); document.write( "C IS (4,0)
\n" ); document.write( "D IS THE INTERSECION F DA AND CD
\n" ); document.write( "D IS (0,0)
\n" ); document.write( "SO AREA OF TRAPEZIUM = 0.5[SUM OF PARALLEL SIDES][DISTANCE BETWEEN PARALLEL SIDES]
\n" ); document.write( "A = 0.5[BC+DA][DIST.BETWEEN BC AND DA]
\n" ); document.write( "A=0.5[(4-4)^2+(2-0)^2][4-0]
\n" ); document.write( "A=0.5*4*4=8 SQ.UNITS
\n" ); document.write( "
\n" );