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Points $A$ and $B$ are on side $\overline{YZ}$ of rectangle $WXYZ$ such that $\overline{WA}$ and $\overline{WB}$ trisect $\angle ZWX$. If $WX = 2$ and $XY = 3$, then what is the area of rectangle $WXYZ$?

 Jan 23, 2025
 #1
avatar+1946 
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This problem actually has a very simple answer. 

Let's note the two sidelengths given, We have WX=2  and XY=3

 

In order to find the area of WXYZ, we must find the height and base. 

The base of the rectange is WX and the height of rectangle is XY

 

The problem gave all the dimensions we need to already solve this problem. We have

WXXY=23=6

 

So our final answer is 6. 

 

Thanks! :)

 Jan 24, 2025
edited by NotThatSmart  Jan 24, 2025

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