For the figures below, assume they are made of semicircles, quarter circles, and squares. for each shape, find the area and perimeter. give your answer as a completely simplified exact value in terms of π (no approximations).

The perimeter is = 6(1 + √2) + 3π cm.

Total area = 4.5(4 + π) cm².

Step-by-step explanation:

The given figure is consists of an isosceles right triangle and a semi-circle.

Perimeter calculation :

AC is the hypotenuse and equal to = cm.

AB = 6 cm and

Arc BC = πr = 3π {Since cm.}

Therefore, the perimeter is = 6 + 6√2 + 3π = 6(1 + √2) + 3π cm.

Area calculation :

Area of the triangle = cm².

Area of the semi circle = cm²

Therefore, total area = 18 + 4.5π = 4.5(4 + π) cm². (Answer)  

i would say c is the best answer, hope it's right!

good luck! =)

cutie~