document.write( "Question 118000: Find the perimeter of the figure. Use 3.14 for the pie and round your answer to one decimal.
\n" ); document.write( "This looks like a square with a line going from the right corner slanted down to the bottom left, but there is a half circle there so it doesnt actually touch the bottom left. on the right half of the line is 13 in.\r
\n" ); document.write( "\n" ); document.write( "Thank you to anyone who can help. Merry Christmas to all. \n" ); document.write( "
Algebra.Com's Answer #86087 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Find the perimeter of the figure. Use 3.14 for the pie and round your answer to one decimal.
\n" ); document.write( "This looks like a square with a line going from the right corner slanted down to the bottom left, but there is a half circle there so it doesnt actually touch the bottom left. on the right half of the line is 13 in.\r
\n" ); document.write( "\n" ); document.write( "Thank you to anyone who can help. Merry Christmas to all.
\n" ); document.write( "
\r\n" );
document.write( "Let's see if I can figure out what you are talking about.\r\n" );
document.write( "\r\n" );
document.write( ">>...This looks like a square......<<\r\n" );
document.write( "\r\n" );
document.write( "OK, here's a square:\r\n" );
document.write( "\r\n" );
document.write( "\"drawing%28200%2C187.5%2C-6.5%2C6.5%2C-6.5%2C6.5%2Crectangle%28-6.5%2C-6.5%2C6.5%2C6.5%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( ">>...with a line going from the right corner slanted down \r\n" );
document.write( "to the bottom left,......<<\r\n" );
document.write( "\r\n" );
document.write( "OK, here's a line going from the upper right down to the bottom left:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( ">>...but there is a half circle there.....<<\r\n" );
document.write( "\r\n" );
document.write( "hmmm? there????  Where???? At the bottom left??? How can a half circle\r\n" );
document.write( "be at the bottom left???  Here???? Or is it below the square??? But then\r\n" );
document.write( "it couldn't be below because you say:\r\n" );
document.write( "\r\n" );
document.write( ">>......so it doesnt actually touch the bottom left...<<\r\n" );
document.write( "\r\n" );
document.write( "so if the half circle was on the bottom of the square, then the\r\n" );
document.write( "slanted line could go all the way to the bottom left, so I assume\r\n" );
document.write( "the half circle must be inside the square like this:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But since you do say this:\r\n" );
document.write( ">>......so it doesnt actually touch the bottom left...<<\r\n" );
document.write( "\r\n" );
document.write( "So I'm guessing you mean it stops at the half circle, like this:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then you say:\r\n" );
document.write( ">>......on the right half of the line is 13 in.  I assume you mean\r\n" );
document.write( "this:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "And since you say this:\r\n" );
document.write( "\r\n" );
document.write( ">>......Find the perimeter of the figure...<<\r\n" );
document.write( "\r\n" );
document.write( "I assume you mean the perimeter of the outside square, and not the\r\n" );
document.write( "perimeter of anything dealing with the half circle, right???\r\n" );
document.write( "\r\n" );
document.write( "So. we draw a horizontal line from the top of the half circle to the\r\n" );
document.write( "right side of the square, like this:\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "Now we look only at this right triangle:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Its base and its height are equal in length, so we will label\r\n" );
document.write( "both the base and the height x, like this:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we apply the Pythagorean theorem to this right triangle:\r\n" );
document.write( "\r\n" );
document.write( "x² + x² = 13\r\n" );
document.write( "\r\n" );
document.write( "    2x² = 13\r\n" );
document.write( "\r\n" );
document.write( "     x² = \"13%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "     x² = 6.5\r\n" );
document.write( "\r\n" );
document.write( "     x = \"sqrt%286.5%29\"\r\n" );
document.write( "\r\n" );
document.write( "     x = 2.549509757 \r\n" );
document.write( "\r\n" );
document.write( ">>......round your answer to one decimal...<<\r\n" );
document.write( "\r\n" );
document.write( "So we round that to 2.5.  Now that is only half\r\n" );
document.write( "of the right side of the square, so the whole\r\n" );
document.write( "right side of the square is twice 2.5 of 5.\r\n" );
document.write( "\r\n" );
document.write( "So each side of the large square is 5. So since\r\n" );
document.write( "the square has four equal sides, its perimeter\r\n" );
document.write( "is the sum of those four sides, or 4 times 4 is 20.\r\n" );
document.write( "\r\n" );
document.write( "But that's probably wrong because you also said\r\n" );
document.write( "\r\n" );
document.write( ">>...Use 3.14 for the pie...<<\r\n" );
document.write( "\r\n" );
document.write( "Actually that is \"pi\", denoted by the Greek letter\r\n" );
document.write( "\"\"pi\"\", not the kind of \"pie\" that you eat.\r\n" );
document.write( "\r\n" );
document.write( "But \"pi\" or \"\"pi\"\" is only used on circles, and\r\n" );
document.write( "half circles, so you must have been supposed to do\r\n" );
document.write( "something with the half circle, but I can't tell what.\r\n" );
document.write( "\r\n" );
document.write( "Sorry.  But I tried.  Maybe you can figure out a way\r\n" );
document.write( "to draw it yourself on here, or to describe it in\r\n" );
document.write( "more detail.  To see how I drew the above, right click\r\n" );
document.write( "somewhere on this page and then left click on \r\n" );
document.write( "\"View Source\" and see if you can understand that. \r\n" );
document.write( "\r\n" );
document.write( "If you can repost or email me with better instructions,\r\n" );
document.write( "then I can help you.  \r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "
\n" );