document.write( "Question 1137122: A rectangle’s base is 7 cm longer than its height. The rectangle’s area is 144 cm^2? Find this rectangle’s dimensions. You must include units with your answers. \n" ); document.write( "
Algebra.Com's Answer #754949 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "let rectangle’s base be \"b\" and height \"h\"\r
\n" ); document.write( "\n" ); document.write( "if a rectangle’s base is \"7cm\" longer than its height, we have \r
\n" ); document.write( "\n" ); document.write( " \"b=h%2B7cm\"........eq.1\r
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\n" ); document.write( "if the rectangle’s area is \"144cm%5E2\", we have\r
\n" ); document.write( "\n" ); document.write( " \"b%2Ah=144cm%5E2\"...substitute \"b\" from eq.1\r
\n" ); document.write( "\n" ); document.write( "\"%28h%2B7cm%29%2Ah=144cm%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2%2B7cm%2Ah=144cm%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2%2B7cm%2Ah-144cm%5E2=0\"....factor completely\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2%2B16cm%2Ah-9cm%2Ah-144cm%5E2=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28h%5E2%2B16cm%2Ah%29-%289cm%2Ah%2B144cm%5E2%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"h%28h%2B16cm%29-9cm%28h%2B16cm%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28h+-+9cm%29+%28h+%2B+16cm%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "solutions: \"h=9cm\" or \"h=-16cm\"->disregard negative solution or height\r
\n" ); document.write( "\n" ); document.write( "so,\"h=9cm\"\r
\n" ); document.write( "\n" ); document.write( "go to \"b=h%2B7cm\"........eq.1, substitute \"h\"\r
\n" ); document.write( "\n" ); document.write( "\"b=9cm%2B7cm\"\r
\n" ); document.write( "\n" ); document.write( "\"b=16cm\"\r
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\n" ); document.write( "\n" ); document.write( "answer: rectangle’s base is \"16cm\" and height is \"9cm\"\r
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