<PRE><B>Question 1210163</B>
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The figure APPEARS to be a kite plus a triangle.  But there is nothing in either your written question or on the referenced figure that tells us so.&lt;br&gt;
We don&#39;t even know whether the two segments that APPEAR to be perpendicular to each other in fact are perpendicular.&lt;br&gt;
Without a description of the figure in your text or on the figure, we would only be guessing at the answer.&lt;br&gt;
Re-post, defining the problem clearly.&lt;br&gt;
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Tutor Edwin has solved the problem assuming that the part of the figure that looks like a kite is in fact a kite.  Before the trapezoid was added, the area of the composite figure was 132.&lt;br&gt;
When the trapezoid is added, Edwin uses a clever way of finding the area of the trapezoid by dividing it into 3 congruent triangles.&lt;br&gt;
The area of the trapezoid is found more easily using the standard formula for the area of a trapezoid: height times average of the bases.  In this problem that is&lt;br&gt;
{{{(8)((24+12)/2)=(8)(18)=144}}}&lt;br&gt;
And then the total area of the new composite figure is 132+144 = 276.&lt;br&gt;
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