find the perimeter and area of the rectangle

Answer:
The answer to your question is Perimeter = 32.8 cm, Area = 62.4 cm
Step-by-step explanation:
data
diagonal = 12 cm
angle = Ф = 30°
Process
1.- Calculate the short leg and the long leg using trigonometric functions.
short leg = 12 sin 30
= 6 cm
long leg = 12 cos 30
= 10.39 ≈ 10.4 cm
2.- Calculate the perimeter
Perimeter = 2(short leg) + 2(long leg)
= 2(6) + 2(10.4)
= 12 + 20.8
= 32.8 cm
3.- Calculate the area
Area = short leg x long leg
= 6 x 10.4
= 62.4 cm