document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981235>Question 981235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangular swimming pool is 86 m and its area is 450 m^2 <BR>\n" );
document.write( "A. How would you represent the length and the width of the swimming pool?<BR>\n" );
document.write( "B. What equation represents the perimeter of the swimming pool? How about the equation that represents its are?<BR>\n" );
document.write( "C. How would you find the length and the width of the swimming pool?<BR>\n" );
document.write( "D. What is the length of the swimming pool? How about its width? Explain how you arrived at your answer.<BR>\n" );
document.write( "E. How would you check if the dimension of the swimming pool obtain satisfy the conditions of the given equation?<BR>\n" );
document.write( "F.suppose you have the dimension of the swimming pool are both doubled, how would it affect its perimeter? How about its area?\r<BR>\n" );
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document.write( "Hope you answer it. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602270 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let l be the length and w be the width<BR>\n" );
document.write( "Perimeter (P) = 2l + 2w<BR>\n" );
document.write( "Area (A) = l * w<BR>\n" );
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document.write( "A. let l be length and w be width<BR>\n" );
document.write( "B. P = 2l + 2w, A = l * w<BR>\n" );
document.write( "C. we have two equations in two unknowns, solve by substitution<BR>\n" );
document.write( "D. we are given<BR>\n" );
document.write( "1) 86 = 2l + 2w<BR>\n" );
document.write( "2) 450 = l * w<BR>\n" );
document.write( "consider the first equation<BR>\n" );
document.write( "86 = 2l + 2w<BR>\n" );
document.write( "divide both sides of = by 2<BR>\n" );
document.write( "43 = l + w, then<BR>\n" );
document.write( "l = 43 - w<BR>\n" );
document.write( "now substitute for l in our second equation<BR>\n" );
document.write( "450 = (43 - w) * w<BR>\n" );
document.write( "450 = 43w - w^2<BR>\n" );
document.write( "rearrange terms<BR>\n" );
document.write( "w^2 - 43w + 450 = 0<BR>\n" );
document.write( "factor the quadratic equation<BR>\n" );
document.write( "(w - 25) * (w - 18) = 0 and<BR>\n" );
document.write( "w = 25 or w = 18<BR>\n" );
document.write( "note that 25 * 18 = 450 = A, therefore<BR>\n" );
document.write( "choose l = 25 m and w = 18 m<BR>\n" );
document.write( "E.check our dimensions with the equation for P<BR>\n" );
document.write( "86 = (2 * 25) + (2 * 18)<BR>\n" );
document.write( "86 = 50 + 36<BR>\n" );
document.write( "86 = 86<BR>\n" );
document.write( "our dimensions check<BR>\n" );
document.write( "F.if we double our dimensions we have l = 50 and w = 36 then<BR>\n" );
document.write( "P' = 2*50 + 2*36 = 172 therefore we double P<BR>\n" );
document.write( "A' = 50 * 36 = 1800 therefore we quad-rouble (4 times) A <BR>\n" );
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