Answer:
63 cm
Explanation:
Let k be the constant of proportionality. Then
(5 cm)k = 22.5 cm, or
k = (22.5 cm) / 5 cm = 4.5
Then the hypotenuse and the shorter leg of the orange triangle are found by multiplying 6 cm and 3 cm by 4.5:
4.5(6 cm) = 27 cm
4.5(3 cm) = 13.5 cm
Then the perimeter of the orange triangle is (27 + 13.5 + 22.5) cm, or
63 cm (the last of the four given answers)