document.write( "Question 1192873: The base of a triangle is 4 inches more than 4 times the height. If the area is 40
\n" ); document.write( " square inches, find the base and the height. \n" ); document.write( "

Algebra.Com's Answer #824784 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " the area is $\"A=%281%2F2%29b%2Ah\"$ where $\"b\"$ is the base and $\"h\"$ is the height\r
\n" ); document.write( "\n" ); document.write( "if the base of a triangle is $\"4\"$ inches more than $\"+4\"$ times the height, we have
\n" ); document.write( " $\"b=4h%2B4\"$
\n" ); document.write( "and if the area is $\"40in%5E2\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"40=%281%2F2%29%284h%2B4%29%2Ah\"$
\n" ); document.write( " $\"80=%284h%2B4%29%2Ah\"$
\n" ); document.write( " $\"80=4h%5E2%2B4h\"$ ......simplify
\n" ); document.write( " $\"20=h%5E2%2Bh\"$
\n" ); document.write( " $\"0=h%5E2%2Bh-20\"$
\n" ); document.write( " $\"0+=+%28h+-+4%29+%28h+%2B+5%29\"$ \r
\n" ); document.write( "\n" ); document.write( "we need only positive solution: $\"h=4\"$ \r
\n" ); document.write( "\n" ); document.write( "then $\"b=4%2A4%2B4\"$ -> $\"b=20\"$ \r
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