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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?

 

 Oct 23, 2021
 #1
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Ugly problem with solutions. I tried and got a very complex radical expression. Are you sure the question is stated correctly?

 Oct 23, 2021
 #2
avatar+1608 
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This is very simple...laugh

 

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

 Oct 23, 2021

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