Question

Given the following information, calculate the

perimeter of Triangle RST. Assume Triangle RZX is similar Triangle RST.
RZ = 28, RY = 32, RX= 40. ZY = 16, and SW = 24


Possible answers:
139
128
109
150
None

Answer 1

150

Explanation:

The ratio of ZY to SW is 16:24, meaning it is 2:3, so all of the sides of RST are 1.5 times as long as RZX.

RZ = 28, so RS = 42

RX = 40, so RT = 60

ZX= ZY + XY and since they are the same length, ZX = 32, making ST = 48

The perimeter is 42 + 60 + 48 = 150