document.write( "Question 248644: The so called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman Architects. The length of a golden rectangle is approx. 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2. \n" ); document.write( "

Algebra.Com's Answer #181176 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"l\"$ = length
\n" ); document.write( "Let $\"w\"$ = width
\n" ); document.write( " $\"l%2Aw+=+9000\"$ m2
\n" ); document.write( "given:
\n" ); document.write( " $\"l+=+1.6w\"$
\n" ); document.write( " $\"%281.6w%29%2Aw+=+9000\"$
\n" ); document.write( " $\"1.6w%5E2+=+9000\"$
\n" ); document.write( " $\"w%5E2+=+5625\"$
\n" ); document.write( " $\"w+=+75\"$
\n" ); document.write( " $\"l+=+1.6w\"$
\n" ); document.write( " $\"l+=+1.6%2A75\"$
\n" ); document.write( " $\"l+=+120\"$
\n" ); document.write( "The length is 120 m and the width is 75 m \n" ); document.write( "

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