Answer:
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
<em>Find the area of the quarter circle</em>
The area of quarter circle is equal to

we have

substitute


<em>Find the area of the triangle</em>
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
<em>Find the circumference of a quarter circle</em>
The perimeter of a quarter of circle is equal to

simplify

we have

substitute


<em>Find the length side AC</em>
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
