document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133936>Question 1133936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In two square plots of grass, a side of one is ten yards longer than the side of the other, and areas are as 25 to 9.  What are lengths of sides?\r<BR>\n" );
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document.write( "A square has equal sides.\r<BR>\n" );
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document.write( "Area of square = x^2\r<BR>\n" );
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document.write( "Let squares be square a and square b.\r<BR>\n" );
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document.write( "b = a + 10\r<BR>\n" );
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document.write( "Not sure how to continue.  </SPAN>\n" );
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document.write( "All squares are similar.  The ratio of areas of any similar figures is the square of the ratio of the linear measurements of the figures.  If the ratio of areas is 25:9, then the ratio of side lengths is 5:3.<br><BR>\n" );
document.write( "It is given that the side of one square is 10 yards more than the side of the other.<br><BR>\n" );
document.write( "Using the ratio 5:3 of the side lengths, let the sides of the two squares by 5x and 3x.  Then their difference is 2x; and we know the difference between the two side lengths is 10.  So 2x=10 --> x=5; and then the two side lengths are 3x=15 and 5x=25. </SPAN>\n" );
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