document.write( "Question 978599: please help me to solve this.. the diagonal of a rectangle is 8 meters than its shorter side.if the area of the rectangle is 60 square meters,find its dimensions \n" ); document.write( "
Algebra.Com's Answer #600003 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
It helps to draw this.
\n" ); document.write( "I am assuming the diagonal is 8 meters longer than the shorter side.\r
\n" ); document.write( "\n" ); document.write( "There are now two sides of a right triangle.
\n" ); document.write( "The width is x
\n" ); document.write( "the length is y
\n" ); document.write( "xy=60
\n" ); document.write( "y=60/x
\n" ); document.write( "The two sides are legs of a right triangle, whose hypotenuse is the diagonal.\r
\n" ); document.write( "\n" ); document.write( "x^2+3600/x^2 = (x+8)^2=x^2+16x+64
\n" ); document.write( "3600/x^2=16x+64
\n" ); document.write( "divide by 16
\n" ); document.write( "225/x^2 =x+4
\n" ); document.write( "225= x^3+4x^2
\n" ); document.write( "x^3+4x^2-225=0
\n" ); document.write( "The roots are factors of 225. One can use synthetic division to find 5.
\n" ); document.write( "One can also graph this to show x=5
\n" ); document.write( "The sides are 5 and 12, the area 60, and the diagonal 13.\r
\n" ); document.write( "\n" ); document.write( "Alternative way on problems like this is to look at factors of 60, and see if one can make a right triangle with 5 for one leg, 12 for the other. When that is done, 13 becomes the answer.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );