document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152516>Question 152516</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh>elementary and intermediate algebra concepts and applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can somebody please help me im stuck\r<BR>\n" );
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document.write( ". Solve the following problems involving applications of polynomials.<BR>\n" );
document.write( "a.	A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo? <BR>\n" );
document.write( "b.	A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally. <BR>\n" );
document.write( "c.	Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.\r<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 #112092 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A.  A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo? \r<BR>\n" );
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document.write( "Dimensions of the photo: w and w+3<BR>\n" );
document.write( "Dimensions of photo plus the border: w+2 and w+3+2<BR>\n" );
document.write( "Area of photo plus border: (w+2)(w+3+2)=108\r<BR>\n" );
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document.write( "(w+2)(w+3+2)=108\r<BR>\n" );
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document.write( "Simplify the parentheses<BR>\n" );
document.write( "(w+2)(w+5)=108\r<BR>\n" );
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document.write( "FOIL<BR>\n" );
document.write( "w^2+7w+10=108\r<BR>\n" );
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document.write( "Subtract 10 from both sides<BR>\n" );
document.write( "w^2+7w=98\r<BR>\n" );
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document.write( "Subtract 98 from both sides<BR>\n" );
document.write( "w^2+7w-98=0\r<BR>\n" );
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document.write( "Factor<BR>\n" );
document.write( "(w+14)(w-7)=0\r<BR>\n" );
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document.write( "Solve for w<BR>\n" );
document.write( "w=-14 or 7\r<BR>\n" );
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document.write( "Width is positive, so w=7\r<BR>\n" );
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document.write( "Dimensions of the photo: w and w+3<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "Dimensions of the photo: 7in and 10in<BR>\n" );
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document.write( "B. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally. \r<BR>\n" );
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document.write( "Length=w+100<BR>\n" );
document.write( "Width=w<BR>\n" );
document.write( "Diagonal=500\r<BR>\n" );
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document.write( "Half of the rectangle= a right triangle with sides w+100, w, and 500 as the hypotenuse\r<BR>\n" );
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document.write( "Pythagorean theorem:<BR>\n" );
document.write( "w^2+(w+100)^2=500^2\r<BR>\n" );
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document.write( "Simplify<BR>\n" );
document.write( "w^2+w^2+200w+10000=250000\r<BR>\n" );
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document.write( "Combine like terms<BR>\n" );
document.write( "2w^2+200w+10000=250000\r<BR>\n" );
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document.write( "Subtract 250000 from both sides<BR>\n" );
document.write( "2w^2+200w-240000=0\r<BR>\n" );
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document.write( "Factor<BR>\n" );
document.write( "2(w^2+100w-120000)=0\r<BR>\n" );
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document.write( "Factor again<BR>\n" );
document.write( "2(w+400)(w-300)=0\r<BR>\n" );
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document.write( "Solve for w<BR>\n" );
document.write( "w=-400 or 300\r<BR>\n" );
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document.write( "Width is positive, so w=300<BR>\n" );
document.write( "Length=w+100<BR>\n" );
document.write( "Width=w<BR>\n" );
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document.write( "Answer: <BR>\n" );
document.write( "Length=400ft<BR>\n" );
document.write( "Width=300ft<BR>\n" );
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document.write( "C. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers. \r<BR>\n" );
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document.write( "consecutive odd integers= x, x+2, x+4<BR>\n" );
document.write( "(x+4)^2=(x+2)^2+264 \r<BR>\n" );
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document.write( "Simplify<BR>\n" );
document.write( "x^2+8x+16=x^2+4x+4+264 \r<BR>\n" );
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document.write( "Combine like terms on each side<BR>\n" );
document.write( "x^2+8x+16=x^2+4x+268 \r<BR>\n" );
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document.write( "Subtract 4x from both sides<BR>\n" );
document.write( "x^2+4x+16=x^2+268 \r<BR>\n" );
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document.write( "Subtract 268 from both sides<BR>\n" );
document.write( "x^2+4x-252=x^2 \r<BR>\n" );
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document.write( "Subtract x^2 from both sides<BR>\n" );
document.write( "4x-252=0 \r<BR>\n" );
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document.write( "Add 252 to both sides<BR>\n" );
document.write( "4x=252 \r<BR>\n" );
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document.write( "Divide both sides by 4<BR>\n" );
document.write( "x=63 \r<BR>\n" );
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document.write( "consecutive odd integers= x, x+2, x+4<BR>\n" );
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document.write( "Answer: 63, 65, and 67  </SPAN>\n" );
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