Determine the length of AY if ARAY is a 30°-60°-90° triangle and RY has a length of 48 centimeters.

48√3 cm

Step-by-step explanation:

I'm assuming that ∠A = 30°, ∠R = 60°, and ∠Y = 90°.

The sides of a 30-60-90 triangle are in the ratio 1:√3:2.

RY is opposite the 30° angle and has length 48 cm.

AY is opposite the 60° angle, so the length of AY = 48√3 cm.

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.