document.write( "Question 923123: I can't seem to get the answer to this question: A= 36 square meters, P= 30 meters find the length and the width? Could you help me find the length and width please? \n" ); document.write( "
Algebra.Com's Answer #559874 by srinivas.g(540)\"\" \"About 
You can put this solution on YOUR website!
Area (A) = 36 square metres
\n" ); document.write( "perimeter (P) = 30 metres
\n" ); document.write( " Formulae: 1) Area = length x width
\n" ); document.write( " 2) perimeter = 2*(length+width)
\n" ); document.write( "let length be x meters and width be y meter
\n" ); document.write( "so A = x*y= 36
\n" ); document.write( " P=2(x+y)= 30
\n" ); document.write( " divide with 2 on both sides
\n" ); document.write( " \"2%28x%2By%29%2F2+=30%2F2\"
\n" ); document.write( " x+y =15................eq(1)
\n" ); document.write( " rule : \"+%28x-y%29%5E2+=+%28x%2By%29%5E2-4xy\"
\n" ); document.write( "
\n" ); document.write( " \"+%28x-y%29%5E2+=+%2815%29%5E2-4%2A36\"
\n" ); document.write( " \"+%28x-y%29%5E2+=+225-144\"
\n" ); document.write( " \"+%28x-y%29%5E2+=+81\"
\n" ); document.write( " apply square root on both sides
\n" ); document.write( " \"+sqrt%28x-y%29+=+sqrt%2881%29\"
\n" ); document.write( " x-y = 9 ................eq(2)
\n" ); document.write( "now we need to solve equation 1 &e to get x&y
\n" ); document.write( "add equation 1 & 2
\n" ); document.write( " x+y= 15
\n" ); document.write( " x-y =9
\n" ); document.write( " ----------
\n" ); document.write( " 2x = 24
\n" ); document.write( " ----------
\n" ); document.write( " 2x= 24
\n" ); document.write( "divide with 2 on both sides
\n" ); document.write( " \"+2x%2F2+=+24%2F2\"
\n" ); document.write( " x= 12
\n" ); document.write( " but x*y =36
\n" ); document.write( " 12*y =36
\n" ); document.write( " divide with 12 on both sides
\n" ); document.write( " \"12y%2F12+=36%2F12\"
\n" ); document.write( " y= 3
\n" ); document.write( "so length (x)= 12 m
\n" ); document.write( " width (y) =3 m\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );