document.write( "Question 702150: An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides. \n" ); document.write( "

Algebra.Com's Answer #432857 by lwsshak3(11628) $\"\"$ $\"About$

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An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.
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\n" ); document.write( "Standard form of equation for an ellipse with horizontal major axis:
\n" ); document.write( " $\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "length of horizontal major axis=10=2a
\n" ); document.write( "a=5
\n" ); document.write( "a^2=25
\n" ); document.write( "length of minor axis=4=2b
\n" ); document.write( "b=2
\n" ); document.write( "b^2=4
\n" ); document.write( "Equation for given ellipse: $\"x%5E2%2F25%2By%5E2%2F4=1\"$
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