document.write( "Question 834921: if the Area of a rectangle is 105 sq. in., and the Perimeter is 44 in., what would be the measurement of its' length and width? \r
\n" ); document.write( "\n" ); document.write( "This is what I've done so far; A=1w (105 sq. in)
\n" ); document.write( " P=2(1+w) = 44
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Algebra.Com's Answer #503248 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
That is a good start. CONTINUE!\r
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\n" ); document.write( "\n" ); document.write( "Let's use L for length instead of the lower case \"l\", because it looks like a variable and not a digit. \r
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\n" ); document.write( "\n" ); document.write( "You know area A and you know perimeter P.
\n" ); document.write( "You want to know length L and width w.\r
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\n" ); document.write( "\n" ); document.write( "Equations for the system are as you saw, \"2%28L%2Bw%29=P\" and \"Lw=A\".\r
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\n" ); document.write( "\n" ); document.write( "Solve for one unknown from one equation and substitute the formula into the other equation! That is what is meant by, \"CONTINUE!\". I will keep this generalized, really not caring about the actual values of P and A.\r
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\n" ); document.write( "\n" ); document.write( "\"2L%2B2w=P\"
\n" ); document.write( "\"2L=P-2w\"
\n" ); document.write( "\"L=%28P-2w%29%2F2\"
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\n" ); document.write( "\"Lw=A\"
\n" ); document.write( "\"%28%28P-2w%29%2F2%29w=A\"
\n" ); document.write( "\"%28P-2w%29w=2A\"
\n" ); document.write( "\"Pw-2w%5E2=2A\"
\n" ); document.write( "\"-2w%5E2-2A%2BPw=0\"
\n" ); document.write( "\"-2w%5E2%2BPw-2A=0\"
\n" ); document.write( "\"2w%5E2-Pw%2B2A=0\" --------- If the values for A and P make this factorable, then you can solve that way. Otherwise, use the general solution for a quadratic equation:
\n" ); document.write( "\"highlight%28w=%28P%2B-+sqrt%28P%5E2-4%2A%282%29%2A%282A%29%29%29%2F%282%2A2%29%29\"
\n" ); document.write( "And find L from knowing value of w.
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