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?
+2864 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?
