document.write( "Question 1180069: Two promotional stands are to be placed in an ellipse-shaped room—one at each foci—and are 3 units from the center. If the room is 8 units wide, what is its length?\r
\n" ); document.write( "\n" ); document.write( "a. √5 units
\n" ); document.write( "b. √4 units
\n" ); document.write( "c. √8 units
\n" ); document.write( "d. √7 units
\n" ); document.write( "e. √3 units
\n" ); document.write( "

Algebra.Com's Answer #809704 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "We are given the value of \"a\" and \"c\"; \r
\n" ); document.write( "\n" ); document.write( "\"a\" is the width of the ellipse and \"c\" is the focus of the ellipse\r
\n" ); document.write( "\n" ); document.write( "for an ellipse the equation to be used to find \"b\" or the length of the ellipse is:\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2+=+b%5E2+%2B+c%5E2\"\r
\n" ); document.write( "\n" ); document.write( "substitute the values in the equation to solve for the missing variable:\r
\n" ); document.write( "\n" ); document.write( "\"c=3\"
\n" ); document.write( "\"8\" units is \"2a\", therefore, \"a+=+4\"\r
\n" ); document.write( "\n" ); document.write( "\"4%5E2+=+b%5E2+%2B+3%5E2\"\r
\n" ); document.write( "\n" ); document.write( "solve for \"b\":\r
\n" ); document.write( "\n" ); document.write( "\"+b%5E2=+4%5E2+-+3%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"+b%5E2=16+-+9\"\r
\n" ); document.write( "\n" ); document.write( "\"b+=+sqrt%287+%29\" units\r
\n" ); document.write( "\n" ); document.write( "Therefore, the value of \"b\" is \"+sqrt%287+%29\"units and your answer is \r
\n" ); document.write( "\n" ); document.write( "d. \"+sqrt%287+%29\" units\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );