SOLUTION: (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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-> SOLUTION: (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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Question 1209517: (32) If QT:TU = 4:1 and UW:WP = 3:1, what fraction is triangle PWT of triangle PQU?
Diagram: https://ibb.co/9kP53CbZ Answer by ikleyn(52788) (Show Source):
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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
=
of the area of triangle PQU.
ANSWER. The area of triangle PWT is of the area of triangle PQU.
