document.write( "Question 141626: the length and width of a rectangle are given by consecutive integers. the area of the rectangle is 90cm^2. find the length of a diangonal of the rectangle \n" ); document.write( "

Algebra.Com's Answer #103171 by checkley77(12844) $\"\"$ $\"About$

You can put this solution on YOUR website!
x(x+1)=90
\n" ); document.write( "x^2+x-90=0
\n" ); document.write( "(x+10)(x-9)=0
\n" ); document.write( "x-9=0
\n" ); document.write( "x=9 answer for the shortest side
\n" ); document.write( "9+1=10 is the longer side.
\n" ); document.write( "proof
\n" ); document.write( "9*10=90
\n" ); document.write( "90=90 \n" ); document.write( "

\n" );