document.write( "Question 773088: hi \r
\n" ); document.write( "\n" ); document.write( "I have a question and I am unable to answer it so here goes:\r
\n" ); document.write( "\n" ); document.write( "Show that the area of this shape can be written as \"+5x%5E2+%2B+4x-+9+\"\r
\n" ); document.write( "\n" ); document.write( "Now the shape is of a letter L and all angles are 90 degrees\r
\n" ); document.write( "\n" ); document.write( "4 measurements are shown against the 4 x Sides:\r
\n" ); document.write( "\n" ); document.write( "LHS \"+2x%5E2+%2B+3+\"
\n" ); document.write( "Top \"+2x%5E2+%2B+1+\"
\n" ); document.write( "Bottom \"+3x+-+5+\"
\n" ); document.write( "RHS Smaller side \"+x+%2B+2+\"\r
\n" ); document.write( "\n" ); document.write( "Unsure how to work this out as the answer I get is \"+5x%5E2+-+9+\" I don't get the \"+4x+\"\r
\n" ); document.write( "\n" ); document.write( "I'm I doing something wrong\r
\n" ); document.write( "\n" ); document.write( "Thanks\r
\n" ); document.write( "\n" ); document.write( "MJ
\n" ); document.write( "

Algebra.Com's Answer #471307 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
This shape is like a rectangle which is missing an upper-right rectangle piece. We can find some projected length distances to find the missing rectangle's width and height.\r
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\n" ); document.write( "\n" ); document.write( "DRAW the figure so you see what my description is.
\n" ); document.write( "Let \"u=%283x-5%29-%282x%5E2%2B1%29\" and let \"v=%282x%5E2%2B3%29-%28x%2B2%29\"
\n" ); document.write( "The area of the missing rectangular piece is \"u%2Av\".\r
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\n" ); document.write( "\n" ); document.write( "First find actual u and v in their simplified form; then, find the area of u*v.\r
\n" ); document.write( "\n" ); document.write( "\"u=3x-5-2x%5E2-1=3x-2x%5E2-6\"
\n" ); document.write( "and
\n" ); document.write( "\"v=2x%5E2%2B3-x-2=2x%5E2-x%2B1\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28uv=%28-2x%5E2%2B3x-6%29%282x%5E2-x%2B1%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "The \"L+%2B+uv+=+%282x%5E2%2B3%29%283x-5%29\"
\n" ); document.write( "and just the L by itself would be :
\n" ); document.write( "The L=\"%282x%5E2%2B3%29%283x-5%29-uv\"
\n" ); document.write( "\"highlight%28L=%282x%5E2%2B3%29%283x-5%29-%28-2x%5E2%2B3x-6%29%282x%5E2-x%2B1%29%29\" square units
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\n" ); document.write( "That should simplify to \"highlight%284x%5E4-2x%5E3-3x%5E2-9%29\"
\n" ); document.write( "I just do not get what you report it should be.
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