document.write( "Question 525374: the length of the fence required to enclose a rectangular field is 3000 meters. What are the dimensions of the field if it is known that the difference between it's length and width is 50 meters \n" ); document.write( "

Algebra.Com's Answer #348086 by simranb(63) $\"\"$ $\"About$

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Hi,
\n" ); document.write( "As you said,
\n" ); document.write( " l - b = 50 --------Eqn 1
\n" ); document.write( "And the perimeter is the same as the fence required
\n" ); document.write( "So,
\n" ); document.write( " 2(l+b)=3000
\n" ); document.write( " l + b = 3000/2
\n" ); document.write( " l + b = 1500 ---------Eqn 2
\n" ); document.write( "l - b = 50
\n" ); document.write( " l = 50 + b
\n" ); document.write( "Substitute this value of l into eqn 2
\n" ); document.write( "Therefore,
\n" ); document.write( " (50 + b) + b = 1500
\n" ); document.write( " 50 + 2b = 1500
\n" ); document.write( " 2b = 1500-50
\n" ); document.write( " 2b = 1450
\n" ); document.write( " b = 1450/2
\n" ); document.write( " b = 725m
\n" ); document.write( "Therefore ,Substitute the value of b into Eqn 1
\n" ); document.write( "Then l-b = 50
\n" ); document.write( " l-725=50
\n" ); document.write( " l = 50+725
\n" ); document.write( " l = 775m
\n" ); document.write( "Hope you found your answer!]
\n" ); document.write( "Simran \n" ); document.write( "

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