document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307737>Question 307737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. the dimensions of a rectangular flower garden were 8 m by 15 m. Each dimension was increased by the same amount. The garden then had an area of 198 m squared. Find the dimensions of the new garden.\r<BR>\n" );
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document.write( "2.  a 7 x 10 in mirror was put in a frame and hung on the wall, the mirror and frame together cover an area of 130 in squared. How wide is the frame? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220131 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. the dimensions of a rectangular flower garden were 8 m by 15 m. Each dimension was increased by the same amount. The garden then had an area of 198 m squared. Find the dimensions of the new garden.\r<BR>\n" );
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document.write( "the dimensions of flower garden\r<BR>\n" );
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document.write( "length = 15 m<BR>\n" );
document.write( "width = 8 m<BR>\n" );
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document.write( "increase each dimension by x m<BR>\n" );
document.write( "then the dimensions become<BR>\n" );
document.write( "x+15<BR>\n" );
document.write( "x+8<BR>\n" );
document.write( "The area of the garden after increase in dimension = 198 m^2\r<BR>\n" );
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document.write( "Area = L * W\r<BR>\n" );
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document.write( "(x+15)(x+8) =198<BR>\n" );
document.write( "x(x+8)+15(x+8)=198<BR>\n" );
document.write( "x^2+8x+15x+120=198<BR>\n" );
document.write( "x^2+23x-78=0 ....      (-198+120)<BR>\n" );
document.write( "x^2+26x-3x-78=0<BR>\n" );
document.write( "x(x+26)-3(x+26)=0<BR>\n" );
document.write( "(x+26)(x-3)=0<BR>\n" );
document.write( "x=-26 OR x=3\r<BR>\n" );
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document.write( "x=3 is practical and valid\r<BR>\n" );
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document.write( "The new length = 15 +3=18 m<BR>\n" );
document.write( "The new width = 8 +3 = 11<BR>\n" );
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document.write( "2.  a 7 x 10 in mirror was put in a frame and hung on the wall, the mirror and frame together cover an area of 130 in squared. How wide is the frame?\r<BR>\n" );
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document.write( "length of mirror = 10<BR>\n" );
document.write( "width of mirror = 7\r<BR>\n" );
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document.write( "Let the width of the border be x<BR>\n" );
document.write( "Dimensions of frame\r<BR>\n" );
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document.write( "New length = 10+2x<BR>\n" );
document.write( "New width = 7+2x\r<BR>\n" );
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document.write( "(2x+7)(2x+10)=130 in squared\r<BR>\n" );
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document.write( "2x(2x+10)+7(2x+10)=130<BR>\n" );
document.write( "4x^2 +20x +14x +70=130<BR>\n" );
document.write( "4x^2+34x - 60 =0<BR>\n" );
document.write( "2x^2+17x-30=0<BR>\n" );
document.write( "2x(x+10)-3(x+10)=0<BR>\n" );
document.write( "(2x-3)(x+10)=0\r<BR>\n" );
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document.write( "x=3/2 OR x= -20.. ( width of border = 3/2 . so increase in width is double)\r<BR>\n" );
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document.write( "3 inches is the increase in width\r<BR>\n" );
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document.write( "frame width = 7+3=10 inches\r<BR>\n" );
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document.write( " </SPAN>\n" );
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