<PRE><B>Question 1185392</B>
&lt;br&gt;
Triangles LXY and LMN are similar.&lt;br&gt;
With LX:XM=2:3, corresponding sides LX and LM of the two similar triangles are in the ratio LX:LM=2:5.&lt;br&gt;
That means the ratio of the areas of triangles LXY and LMN is (2^2):(5^2) = 4:25.&lt;br&gt;
That in turn means the ratio of the areas of LXY and XMNY is 4:21.  Then, since the area of XMNY is 42 square meters...&lt;br&gt;
{{{x/42=4/21}}}
{{{x=8}}}&lt;br&gt;
ANSWER: The area of triangle LXY is 8 square meters.  Answer choice C.&lt;br&gt;
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In response to question from student....&lt;br&gt;
4:25 is the ratio of the areas of the two triangles LXY and LMN.&lt;br&gt;
Quadrilateral XMNY is the difference between those two triangles, so the ratio of areas of triangle LXY and quadrilateral XMNY is 4:21.&lt;br&gt;
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