document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047690>Question 1047690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> TV's are measured by the length of their diagonals. The ratio of a TV's length to width is 4:3 and its size is 55 inches. What is the perimeter around the TV? </SPAN>\n" );
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document.write( "The ratio is 4:3 which means the width is 4x and the height is 3x where x is some positive number\r<BR>\n" );
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document.write( "Draw the diagonal on the rectangular tv image. You'll see a right triangle forming. \r<BR>\n" );
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document.write( "The legs of this triangle are 4x and 3x. The hypotenuse is 55. So,<BR>\n" );
document.write( "a = 4x<BR>\n" );
document.write( "b = 3x<BR>\n" );
document.write( "c = 55\r<BR>\n" );
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document.write( "Let's use the pythagorean theorem to solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%5E2+%2B+%283x%29%5E2+=+55%5E2 ALIGN=MIDDLE  ALT=\"%284x%29%5E2+%2B+%283x%29%5E2+=+55%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2%2B9x%5E2+=+3025 ALIGN=MIDDLE  ALT=\"16x%5E2%2B9x%5E2+=+3025\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2+=+3025 ALIGN=MIDDLE  ALT=\"25x%5E2+=+3025\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825x%5E2%29%2F25+=+3025%2F25 ALIGN=MIDDLE  ALT=\"%2825x%5E2%29%2F25+=+3025%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+121 ALIGN=MIDDLE  ALT=\"x%5E2+=+121\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%29+=+sqrt%28121%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%29+=+sqrt%28121%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+11 ALIGN=MIDDLE  ALT=\"x+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-11 ALIGN=MIDDLE  ALT=\"x+=+-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Ignore the negative x value. Recall that x must be positive.\r<BR>\n" );
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document.write( "So we know that x = 11 now. Let's use this to find the width and height\r<BR>\n" );
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document.write( "width = 4*x = 4*11 = 44<BR>\n" );
document.write( "height = 3*x = 3*11 = 33\r<BR>\n" );
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document.write( "This tv has a width of 44 inches (horizontal) and height of 33 inches (vertical)\r<BR>\n" );
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document.write( "Add up all the sides of the rectangle to get: 44+33+44+33 = 154\r<BR>\n" );
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document.write( "The perimeter is <font color=red size=5>154 inches</font><BR>\n" );
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