document.write( "Question 941040: A rectangular garden is enclosed by 460 ft. of fencing. If the length of the garden is 10 ft. less than 3 times its width, what are the dimensions of the garden? \n" ); document.write( "

Algebra.Com's Answer #573576 by srinivas.g(540) $\"\"$ $\"About$

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perimeter of rectangle = 460 ft
\n" ); document.write( " let width be x ft
\n" ); document.write( "If the length of the garden is 10 ft. less than 3 times its width
\n" ); document.write( " then length = 3*x-10
\n" ); document.write( " formula: perimeter of rectangle =2( length+width)
\n" ); document.write( " but perimeter = 460 ft
\n" ); document.write( " 460 = 2( (3x-10)+x)
\n" ); document.write( " 460= 2(3x-10+x)
\n" ); document.write( " 460= 2( 4x-10)
\n" ); document.write( " divife with on both sides
\n" ); document.write( " $\"+460%2F2+=2%284x-10%29%2F2\"$
\n" ); document.write( " $\"230=+4x-10\"$
\n" ); document.write( " add 10 on both sides
\n" ); document.write( "230+10 =4x-10+10
\n" ); document.write( " 240= 4x
\n" ); document.write( " divide with 4 on both sides
\n" ); document.write( " $\"+240%2F4+=4x%2F4\"$
\n" ); document.write( " $\"+60=+x\"$
\n" ); document.write( "Hence width (x)= 60 ft
\n" ); document.write( " length =3*60-10
\n" ); document.write( " =180-10
\n" ); document.write( " =170 ft
\n" ); document.write( "length = 170 ft
\n" ); document.write( "Result : length =170 ft width =60 ft
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