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?
+128473 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
