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PQRS is a square.  T lies on PQ so that PT:TQ = 1:2.  U lies on SR so that SU:UR = 1:2.  The perimeter of PTUS is 40.  What is the area of PTUS?

 Nov 22, 2019
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The ratio of the area of PTUS to PQRS is 1:3

 

\(2x+2y=40\)

\(x+y=40\)

 

X is a shared side of PTUS and PQRS.

 

Since PQRS is a square, the area is x^2. Based on the ratio above, PTUS is x2/3.

 

Do you know why? Can you figure out the answer?

 Nov 23, 2019
edited by CalculatorUser  Nov 23, 2019

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