View of /trunk/NationalProblemLibrary/ASU-topics/setOptimization/4-5-32.pg

    1 #DESCRIPTION
    2 #KEYWORDS('algebara', 'equations', 'domain')
    3 #  Find the domain of a function root(a-bx)
    4 #ENDDESCRIPTION
    5 
    6 DOCUMENT();        # This should be the first executable line in the problem.
    7 
    8 loadMacros("PG.pl",
    9            "PGbasicmacros.pl",
   10            "PGchoicemacros.pl",
   11            "PGanswermacros.pl",
   12            "PGauxiliaryFunctions.pl");
   13 
   14 $a = random(13,19,1);
   15 $as = $a**2;
   16 
   17 TEXT(beginproblem());
   18 
   19 $showPartialCorrectAnswers = 1;
   20 
   21 TEXT(EV2(<<EOT));
   22 Find the length \(L\) and width \(W\) (with \(W \leq L\)) of the
   23 rectangle with area $as square inches that has minimum perimeter, and then find
   24 the minimum perimeter.
   25 $BR
   26 \(L\) = \{ans_rule(10)\}
   27 $BR
   28 $BR
   29 \(W\) = \{ans_rule(10)\}
   30 $BR
   31 $BR
   32 Minimum perimeter = \{ans_rule(10)\}
   33 $BR
   34 EOT
   35 
   36 @answers = (num_cmp($a), num_cmp($a), num_cmp(4*$a));
   37 
   38 &ANS(@answers);
   39 
   40 ENDDOCUMENT();        # This should be the last executable line in the problem.