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WXYZ is a trapezoid such that WX is parallel to ZY and WY is perpendicular to ZY. If YZ = 15, tan Z = 4/3, and tan X = 2, then what is the area of WXYZ?

 

 Dec 7, 2020
 #1
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WYZ  and WXY   form  right triangles

 

If  YZ  =15

And tan Z   =  WY/ YZ   = 4/3

Then WY=  (4/3) YZ =  (4/3) (15)   =  20  =   height of trapezoid

 

If  WY  = 20

And tan X = 2 =  WY/ WX

Then     20 / WX = 2    →   WX  = 20/2   =10

 

Area of trapezoid  =   (1/2) WY  ( YZ + WX  )  =  (1/2) (20) ( 15 + 10)  =  10 (25)  =  250

 

 

cool cool cool

 Dec 7, 2020

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