document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137671>Question 1137671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I have a math problem and I wanted to check to see if I have the correct answers.\r<BR>\n" );
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document.write( "The average college dorm room measures 10 feet by 18 feet.\r<BR>\n" );
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document.write( "a. Convert the measurements to inches by inches.<BR>\n" );
document.write( "b. Find the area of the room in square yards<BR>\n" );
document.write( "c. How much would it cost to carpet a room if the carpet cost $17.90 per meter squared?\r<BR>\n" );
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document.write( "a. 10 feet=120 inches, 18 feet=216 inches<BR>\n" );
document.write( "b. (10)x(18)= 180/9=20 square feet<BR>\n" );
document.write( "c. (20)x(17.90)= $358\r<BR>\n" );
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document.write( "Thank you<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755554 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the room measures 10 feet by 18 feet.\r<BR>\n" );
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document.write( "a. Convert the measurements to inches by inches.\r<BR>\n" );
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document.write( "10 feet * 12 = 120 inches.<BR>\n" );
document.write( "18 feet * 12 = 216 inches.\r<BR>\n" );
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document.write( "the room measures 120 inches by 216 inches.\r<BR>\n" );
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document.write( "b. Find the area of the room in square yards\r<BR>\n" );
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document.write( "number of feet are equal to number of yards * 3.<BR>\n" );
document.write( "number of inches are equal to number of feet * 12.\r<BR>\n" );
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document.write( "conversely, .....\r<BR>\n" );
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document.write( "number of yards are equal to number of feet / 3.<BR>\n" );
document.write( "number of feet are equal to number of inches / 12.\r<BR>\n" );
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document.write( "if you are looking for square yards and square feet and square inches, you would do the following conversions.\r<BR>\n" );
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document.write( "square feet are equal to number of square yards * 3^2 which is equal to number of square yards * 9.<BR>\n" );
document.write( "square inches are equal to number of square feet * 12^2 which is equal to number of square feet * 144.\r<BR>\n" );
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document.write( "number of square yards are equal to number of square feet / 9.<BR>\n" );
document.write( "number of square feet are equal to number of square inches / 144.\r<BR>\n" );
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document.write( "you were given the dimensions of the room in feet.<BR>\n" );
document.write( "that was 10 feet by 18 feet.<BR>\n" );
document.write( "the number of square feet would be 10 * 18 = 180 square feet.<BR>\n" );
document.write( "the number of square yards would be 1800 / 9 = 20 square yards.\r<BR>\n" );
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document.write( "you can confirm that's true by converting the feet to yards and then finding the area.\r<BR>\n" );
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document.write( "10 feet / 3 = 10/3 yards.<BR>\n" );
document.write( "18 feet / 3 = 6 yards.\r<BR>\n" );
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document.write( "10/3 * 6 = 60/3 = 20 square yards.\r<BR>\n" );
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document.write( "i think in your answer to b, you meant 20 square yards and not 20 square feet.\r<BR>\n" );
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document.write( "so far, you're doing good.\r<BR>\n" );
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document.write( "c. How much would it cost to carpet a room if the carpet cost $17.90 per meter squared? \r<BR>\n" );
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document.write( "here they tossed you a curve.\r<BR>\n" );
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document.write( "they asked the price per square meter, not per square yard.\r<BR>\n" );
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document.write( "if it was 17.90 per square yard, your answer would have been correct at 17.90 * 20 = 358.\r<BR>\n" );
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document.write( "if they really wanted per square meter, then you need to convert square yards to square meters.\r<BR>\n" );
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document.write( "yards are equal to meters / 1.09361.<BR>\n" );
document.write( "meters areequal to yards * 1.09361.<BR>\n" );
document.write( "square yards are equal to square meters / 1.19599<BR>\n" );
document.write( "square meters are equal to square yards * 1.19599.\r<BR>\n" );
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document.write( "not that 1.19599 is equal to 1.09361 squared and then rounded to 5 decimal places.\r<BR>\n" );
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document.write( "therefore, 20 square yards / 1.19599 is equal to 16.72254785 square meters and the cost will be 17.90 * 16.72254785 = 299.3336065 = 299.33 rounded to 2 decimal places.\r<BR>\n" );
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document.write( "if they meant cost per square yard, then you were right.<BR>\n" );
document.write( "\if they meant cost per square meter, than what i gave you should be the answer.\r<BR>\n" );
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document.write( "note that you could have converted the yard measurements to meter measurements and got the same answer.\r<BR>\n" );
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document.write( "10/3 yards / 1.09361 = 3.048009193 meters.<BR>\n" );
document.write( "6 yards / 1.09361 = 5.486416547 meters.\r<BR>\n" );
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document.write( "square meters are 3.04..... * 5.48..... = 16.72264807 square meters * 17.9 = 299.33 rounded to 2 decimal places.\r<BR>\n" );
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document.write( "bottom line is you did ok but there are some wrinkles that either shouldn't be there or that you didn't account for in part c.\r<BR>\n" );
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