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).
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Part 1)

a) The area is  

b) The perimeter is

Part 2)

a) The area is

b) The perimeter is

Step-by-step explanation:

see the attached figure to better understand the problem

Part 1)

a) Find the area of the figure N 1

we know that

The area of the figure N 1 is equal to the area of a quarter circle minus the area of the triangle

Find the area of the quarter circle

The area of quarter circle is equal to

we have

substitute

Find the area of the triangle

The area of triangle is equal to

we have

substitute

therefore

The area of the figure is

Simplify

b) Find the perimeter of figure N 1

we know that

The perimeter of the figure N 1 is equal to the circumference of a quarter circle plus the side AC of triangle

Find the circumference of a quarter circle

The perimeter of a quarter of circle is equal to

simplify

we have

substitute

Find the length side AC

Applying the Pythagorean Theorem

simplify

The perimeter of the figure is

simplify

Part 2)

a) Find the area of the figure N 2

we know that

The area of the figure N 2 is equal to the area of a semicircle plus the area of a square minus the area of semicircle

so

The area of the figure is equal to the area of the square

b) Find the perimeter of the figure N 2

we know that

The perimeter of the figure N 2 is equal to the length side AB plus the length side DC plus the circumference of two semicircles

so

The perimeter of the figure N 2 is equal to two times the length side AB plus the circumference of one circle

simplify

i dont know it

step-by-step explanation: