document.write( "Question 1200305: Let’s say you are remodeling your room. You want to determine various measurements using
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document.write( "polynomial expressions. Your room is
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document.write( "8x
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document.write( "feet by
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document.write( "3x
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document.write( "feet.
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document.write( "1. How much border should you purchase is you are putting border around the edge of the top of
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document.write( "your walls? (Assume there is wall space above the opening for the door).
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document.write( "2. On the floor, you will need to purchase wood floor panels. How much should you buy to
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document.write( "cover the entire floor of your bedroom?
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document.write( "3. Your mom just told you that she will give you your sister’s bedroom which as 3 more feet of
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document.write( "length and 2 less feet of width. What is the new amount of border you will need to purchase?
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document.write( "4. In the new room, what is the new amount of flooring you will need to purchase?
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document.write( "5. What is the difference in the size of the new bedroom and the original bedroom? \n" );
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Algebra.Com's Answer #848083 by GingerAle(43)![]() ![]() ![]() You can put this solution on YOUR website! Certainly, let's figure out the measurements for your room remodel!\r \n" ); document.write( "\n" ); document.write( "**1. Border for the top of the walls:**\r \n" ); document.write( "\n" ); document.write( "* **Find the perimeter:** \n" ); document.write( " * Perimeter = 2 * (Length + Width) \n" ); document.write( " * Perimeter = 2 * (8x + 3x) = 2 * 11x = 22x feet\r \n" ); document.write( "\n" ); document.write( "* **You should purchase 22x feet of border.**\r \n" ); document.write( "\n" ); document.write( "**2. Flooring for the original room:**\r \n" ); document.write( "\n" ); document.write( "* **Find the area:** \n" ); document.write( " * Area = Length * Width \n" ); document.write( " * Area = 8x * 3x = 24x² square feet\r \n" ); document.write( "\n" ); document.write( "* **You should purchase 24x² square feet of flooring.**\r \n" ); document.write( "\n" ); document.write( "**3. Border for the new room:**\r \n" ); document.write( "\n" ); document.write( "* **New room dimensions:** \n" ); document.write( " * Length = 8x + 3 = (8x + 3) feet \n" ); document.write( " * Width = 3x - 2 = (3x - 2) feet\r \n" ); document.write( "\n" ); document.write( "* **Find the new perimeter:** \n" ); document.write( " * Perimeter = 2 * (Length + Width) \n" ); document.write( " * Perimeter = 2 * [(8x + 3) + (3x - 2)] = 2 * (11x + 1) = 22x + 2 feet\r \n" ); document.write( "\n" ); document.write( "* **You should purchase 22x + 2 feet of border for the new room.**\r \n" ); document.write( "\n" ); document.write( "**4. Flooring for the new room:**\r \n" ); document.write( "\n" ); document.write( "* **Find the new area:** \n" ); document.write( " * Area = Length * Width \n" ); document.write( " * Area = (8x + 3) * (3x - 2) \n" ); document.write( " * Area = 24x² - 16x + 9x - 6 \n" ); document.write( " * Area = 24x² - 7x - 6 square feet\r \n" ); document.write( "\n" ); document.write( "* **You should purchase 24x² - 7x - 6 square feet of flooring for the new room.**\r \n" ); document.write( "\n" ); document.write( "**5. Difference in size between the new and original bedrooms:**\r \n" ); document.write( "\n" ); document.write( "* **Find the difference in area:** \n" ); document.write( " * Difference = New Room Area - Original Room Area \n" ); document.write( " * Difference = (24x² - 7x - 6) - 24x² \n" ); document.write( " * Difference = -7x - 6 square feet\r \n" ); document.write( "\n" ); document.write( "* **The new bedroom is 7x + 6 square feet smaller than the original bedroom.**\r \n" ); document.write( "\n" ); document.write( "I hope this helps! Let me know if you have any other questions. \n" ); document.write( " \n" ); document.write( " |