Answer:
WQ = 2.67 to the nearest hundredth.
Explanation:
The area of triangle PQX = 1/2 * PX * QX.
The area of the rectangle = 8 * YX .
But YX = 2 PX so its area = 8 *2PX = 16*PX.
We are given that area of PQX is 1/6 of the area of WXYZ, so we have the equation:-
16 PX = 6* 1/2*PX * QX
16 = 3QX
QX = 16/3 = 5.33
Finally WQ = WX - QX
= 8 - 5.33
= 2.67