In the figure, ABCD is a rectangle, AZ=WC=6 units, AB=12 units and the area of trapezoid ZWCD is 150 square units. What is the area of triangle BQW?
+876 Ugly problem with solutions. I tried and got a very complex radical expression. Are you sure the question is stated correctly?
+1694 This is very simple...
AB = 12
BC = 300/12
BW = BC - CW
∠CBD = tan-1(12/25)
∠BWZ = tan-1(12/13)
Now you can solve triangle BQW using the law of sines, and using Heron's formula, you can find the area of this triangle.
btw., [BQW] = 57 square units
