document.write( "Question 239475: The Patel family had a square garden. They increased the size of the garden so that the new larger square garden is 144 square feet larger than the old garden. The new garden has a side that is 3 feet longer than double the length of the side of the old garden. What are the dimensions of the old and new garden? \n" ); document.write( "

Algebra.Com's Answer #175776 by checkley77(12844) $\"\"$ $\"About$

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(2x+3)^2=144-x^2
\n" ); document.write( "4x^2+12x+9=144-x^2
\n" ); document.write( "4x^2+x^2+12x+9-144=0
\n" ); document.write( "5x^2+12x-135=0
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "x=(-12+-sqrt[12^2-4*5*-135])/2*5
\n" ); document.write( "x=(-12+-sqrt[144+2,700])/10
\n" ); document.write( "x=(-12+-sqrt[2,844])/10
\n" ); document.write( "x=(-12+-53.329)/10
\n" ); document.write( "x=(-12+53.329)/10
\n" ); document.write( "x=41.329/10
\n" ); document.write( "x=4.1329 ans for the original size of the square garden.
\n" ); document.write( "2*4.1329+3=8.2658+3=11.2658 ans. for the expanded side of the garden.
\n" ); document.write( "Proof:
\n" ); document.write( "(2*4.1329+3)^2=144-4.1329^2
\n" ); document.write( "(8.2658+3)^2=144-17.08
\n" ); document.write( "11.2658^2=126.92
\n" ); document.write( "126.92=126.92 \n" ); document.write( "

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