document.write( "Question 755404: If the perimeter of a rectangle is 34 inches and one side equals 5 inches, what is the length of its diagonal \n" ); document.write( "

Algebra.Com's Answer #459956 by pragya.ban@gmail.com(32) $\"\"$ $\"About$

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If the perimeter of a rectangle is 34 inches and one side equals 5 inches, what is the length of its diagonal.\r
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\n" ); document.write( "\n" ); document.write( "First of all, we need to find the other side. To do so, we need to use the perimeter formula. Let's assume the unknown side to be x:\r
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\n" ); document.write( "\n" ); document.write( "5+5+x+x=34
\n" ); document.write( "10+2x=34
\n" ); document.write( "2x=24
\n" ); document.write( "x=12\r
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\n" ); document.write( "\n" ); document.write( "So the other side is 12 inches. Now using the pythagorean theorem, we can find the diagnol(c):\r
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\n" ); document.write( "\n" ); document.write( "(5^2)+(12^2)=c^2\r
\n" ); document.write( "\n" ); document.write( "25+144=c^2
\n" ); document.write( "169=c^2
\n" ); document.write( "c^2=169
\n" ); document.write( "c^2=13^2
\n" ); document.write( "c=13\r
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\n" ); document.write( "\n" ); document.write( "So the diagonal is 13 inches.\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps! If not, feel free to ask again. \n" ); document.write( "

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