document.write( "Question 939621: The length of a rectangular hall is 5 metres more than its breadth. The area of the hall is 750 metre square. The length of the hall is- \n" ); document.write( "

Algebra.Com's Answer #572600 by laoman(51) $\"\"$ $\"About$

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Given that the area of the hall is 750 m^2
\n" ); document.write( "We also know that the length is 5 m more than the breadth\r
\n" ); document.write( "\n" ); document.write( "If the length of the hall is l and the breadth is b
\n" ); document.write( "We can say that l = b+ 5 from the info given\r
\n" ); document.write( "\n" ); document.write( "Area = length * breadth
\n" ); document.write( "= (b+5) * b = 750
\n" ); document.write( "b^2 + 5*b = 750
\n" ); document.write( "b^2 + 5*b - 750 = 0
\n" ); document.write( "Solving the quadratic equation above,
\n" ); document.write( "Using factorization method, our factors are 30 and -25
\n" ); document.write( "A rule state that the negative inverse of the factors are the roots of a quadratic equation with 1 as the coefficient of the highest power
\n" ); document.write( "Therefore b = -30 or +25
\n" ); document.write( "But we cant have a negative breadth, therefore breadth, b = 25
\n" ); document.write( "Also, length,l = b+5 = 25+5=30\r
\n" ); document.write( "\n" ); document.write( "Therefore the length of the hall is 30 metres
\n" ); document.write( "Never forget the units
\n" ); document.write( "QED \n" ); document.write( "

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