document.write( "Question 600366: The area of a rectangle is 27 square feet. The base is 3 more than twice the height \n" ); document.write( "

Algebra.Com's Answer #379335 by alicealc(293) $\"\"$ $\"About$

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I assume you're looking for the rectangle's dimension\r
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\n" ); document.write( "\n" ); document.write( "base = b
\n" ); document.write( "height = h\r
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\n" ); document.write( "\n" ); document.write( "b = 3 + 2h
\n" ); document.write( "Area = b * h
\n" ); document.write( "27 = (3 + 2h)*h
\n" ); document.write( " $\"27+=+3h+%2B+2h%5E2\"$
\n" ); document.write( " $\"2h%5E2+%2B+3h+-+27+=+0\"$
\n" ); document.write( "factorize it into:
\n" ); document.write( " $\"%282h+%2B+9%29%2A%28h+-+3%29=0\"$
\n" ); document.write( "2h + 9 = 0 or h - 3 = 0
\n" ); document.write( "2h = -9 or h = 3
\n" ); document.write( "h = -9/2 or h = 3\r
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\n" ); document.write( "\n" ); document.write( "because the height can't be a negative number, so h = 3
\n" ); document.write( "b = 3 + 2*3 = 3 + 6 = 9\r
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\n" ); document.write( "\n" ); document.write( "so the height is 3 ft and the base is 27 ft \n" ); document.write( "

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