Question 1209517
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(32) If QT:TU = 4:1 and UW:WP = 3:1, what fraction is triangle PWT of triangle PQU?

Diagram: https://ibb.co/9kP53CbZ
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From  QT:TU = 4:1  we conclude that the area of triangle PTU is 1/5 
                                             of the area of triangle PQU.


From  UW:WP = 3:1  we conclude that the area of triangle PWT is 1/4 
                                             of the area of triangle PTU.


Combining these two facts, we conclude that the area of triangle PWT is

    {{{(1/5)*(1/4)}}} = {{{1/20}}}

of the area of triangle PQU.


<U>ANSWER</U>.  The area of triangle PWT is  {{{1/20}}}  of the area of triangle PQU.
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Solved.