document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152338>Question 1152338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a<BR>\n" );
document.write( "factor of 3. The resulting rectangle WXYZ has an area of 72 cm2. Tristan<BR>\n" );
document.write( "found that the area of rectangle ABCD must be 8 cm2. Is he correct?<BR>\n" );
document.write( "A. No, because he needs to divide the area of rectangle WXYZ by 3.<BR>\n" );
document.write( "B. No, because he needs to multiply the area of rectangle WXYZ by 3.<BR>\n" );
document.write( "C. Yes, because he needs to find the possible dimensions for rectangle<BR>\n" );
document.write( "WXYZ and then divide each dimension by 3.<BR>\n" );
document.write( "D. Yes, because he needs to find the possible dimensions for rectangle<BR>\n" );
document.write( "WXYZ and then multiply each dimension by 3. </SPAN>\n" );
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document.write( "When a figure (any shape!) is dilated by a factor of 3, the scale factor (ratio of linear measurements) between the original figure and the dilated figure is 3:1.<br><BR>\n" );
document.write( "If the scale factor between two similar figures is 3:1, then the ratio of the areas is the square of that, which is 9:1.  If the figure were 3-dimensional, then the ratio of volumes would be the cube of the scale factor, which would be 27:1.<br><BR>\n" );
document.write( "Tristan's answer is right, because 72/9 = 8.<br><BR>\n" );
document.write( "None of the answer choices is correct.<br><BR>\n" );
document.write( "Answer choices A and B are both wrong, because they say Tristan's answer is wrong.<br><BR>\n" );
document.write( "Answer choice D is wrong, because it says the dimensions of the original rectangle have to be multiplied by 3.<br><BR>\n" );
document.write( "And answer choice C, while closest to being correct, is still not right, because THERE IS NO NEED TO FIND/GUESS THE DIMENSIONS OF THE ORIGINAL TRIANGLE, DIVIDE THEM BOTH BY 3, AND THEN MULTIPLY THE NEW DIMENSIONS TO FIND THE NEW AREA.<br><BR>\n" );
document.write( "The only thing he needs to do is divide the area of the original rectangle by 3^2=9.<br><BR>\n" );
document.write( "So Tristan's answer is right; and none of the given answer choices is correct.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );