document.write( "Question 194508: the width of a rectangular is fixed at 16cm. what lengths will make the perimeter greater than 78cm \n" ); document.write( "

Algebra.Com's Answer #145960 by doukungfoo(195) $\"\"$ $\"About$

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Ok the perimeter of a rectangle is 2 times its length plus 2 times its width.
\n" ); document.write( "2(Length) + 2(Width) = Perimeter
\n" ); document.write( "We are given that the width is 16cm
\n" ); document.write( "and we are asked to find what lengths will give a perimeter greater than 78cm
\n" ); document.write( "The words \"greater than\" tell us that we are dealing with an inequality not an equation. So based on this information we can set up an inequality to solve for values of length. Lets call the length x
\n" ); document.write( "2 times the length which we are calling x Plus 2 times the width which is 16 is greater than 78
\n" ); document.write( "2x + 2(16) > 78
\n" ); document.write( "next multiply 2 times 16 to get 32
\n" ); document.write( "2x + 32 > 78
\n" ); document.write( "then subtract 32 from both sides
\n" ); document.write( "2x > 46
\n" ); document.write( "finally divide both sides by 2
\n" ); document.write( "x > 23
\n" ); document.write( "So we have found that the length must be greater than 23cm to get a perimeter greater than 78cm \n" ); document.write( "

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