document.write( "Question 898976: The length of the wall is 17m more than its width. If the area of the wall is less than 60m^2, what could be its possible length? \n" ); document.write( "

Algebra.Com's Answer #545091 by Jc0110(165) $\"\"$ $\"About$

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Let y to be the length, while z to be the width.
\n" ); document.write( "length, $\"y=z%2B17\"$
\n" ); document.write( "width, $\"z=z\"$
\n" ); document.write( " $\"Area%3C60m%5E2\"$
\n" ); document.write( " $\"y%2Az%3C60\"$
\n" ); document.write( " $\"%28z%2B17%29%2Az%3C60\"$
\n" ); document.write( " $\"z%5E2%2B17z%3C60\"$
\n" ); document.write( " $\"z%5E2%2B17z-60%3C0\"$
\n" ); document.write( " $\"%28z%2B20%29%28z-3%29%3C0\"$
\n" ); document.write( "The range of z is $\"-20%3Cx%3C3\"$ , which holds the number -19,-18,-17,-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2.
\n" ); document.write( "Since the length for an area cannot be zero and in negatives, the range of z are $\"z%3E0\"$ , $\"z%3C3\"$ .\r
\n" ); document.write( "\n" ); document.write( "To get the possible lengths, substitute $\"z=1\"$ and $\"z=2\"$ into $\"y=z%2B17\"$ .
\n" ); document.write( " $\"y=1%2B17\"$
\n" ); document.write( " $\"y=18\"$
\n" ); document.write( "or
\n" ); document.write( " $\"y=2%2B17\"$
\n" ); document.write( " $\"y=19\"$ \r
\n" ); document.write( "\n" ); document.write( "Therefore, the possible lengths are 18m and 19m.\r
\n" ); document.write( "\n" ); document.write( "**In fact, the value z in range of $\"z%3E0\"$ , $\"z%3C3\"$ do not only include 1 and 2, but also involve the positive rational numbers, such as
\n" ); document.write( "0.00000...1, 0.001, 0.01, 0.1, 0.2, 0.26, 1.26895, 1.5, 1.55, 1.88888, 2.12, 2.563, 2.889, 2.9, 2.93, 2.99999999.
\n" ); document.write( "*As conclusion, value z can be any positive rational numbers as long as it is in this range: $\"z%3E0\"$ , $\"z%3C3\"$ . \n" ); document.write( "

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