document.write( "Question 1143666: The length of the base of a rectangle is 3 inches Less than twice the height if the total area of the rectangle is 152 in.² what are the lengths of the base and the height of the rectangle \n" ); document.write( "

Algebra.Com's Answer #764530 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+j+\"$ = base in in.
\n" ); document.write( "Let $\"+k+\"$ = height in in.
\n" ); document.write( "(1) $\"+j+=+2k+-+3+\"$
\n" ); document.write( "(2) $\"+j%2Ak+=+152+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+%28+2k+-+3+%29%2Ak+=+152+\"$
\n" ); document.write( "(2) $\"+2k%5E2+-+3k+=+152+\"$
\n" ); document.write( "(2) $\"+2k%5E2+-+3k+-+152+\"$
\n" ); document.write( " $\"+k+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"+k+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A2%2A%28-152%29+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( " $\"+k+=+%28+3+%2B-+sqrt%28+9+%2B+1216+%29%29%2F+4+\"$
\n" ); document.write( " $\"+k+=+%28+3+%2B+sqrt%28+1225+%29+%29%2F4+\"$
\n" ); document.write( " $\"+k+=+%28+3+%2B+35+%29+%2F+4+\"$
\n" ); document.write( " $\"+k+=+38%2F4+\"$
\n" ); document.write( " $\"+k+=+9.5+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+j+=+2%2A9.5+-+3+\"$
\n" ); document.write( " $\"+j+=+16+\"$
\n" ); document.write( "The base is 16
\n" ); document.write( "The height is 9.5
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+j%2Ak+=+152+\"$
\n" ); document.write( "(2) $\"+16%2A9.5+=+152+\"$
\n" ); document.write( "(2) $\"+152+=+152+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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