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?

Guest Nov 22, 2019

#1**0 **

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 x^{2}/3.

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

CalculatorUser Nov 23, 2019