What is its perimeter? what is its area?

Hi!

I have included an image of the shape, so others can see it without downloading the file. :)

To find the perimeter of a shape, add all of the sides together. 

40 + 10 + 7 + 34 + ? + 33 + 68 + 10

Before we can add, we have to find the perimeter of the semi-circle. 

To find the circumference of a circle, use this equation: 
(c = circumference, r = radius)

c = 2πr
r = 17
c = 2π · 17
c = 106.76

Now since it's only a semi circle, divide that by 2.

106.76/2 = 53.38

40 + 10 + 7 + 34 + 53.38 + 33 + 68 + 10 = 255.38

The perimeter is 255.38

Now for the area. Let's separate this big shape into smaller shapes. (see image 2)

Left rectangle:
40 x 10 = 400

Right rectangle:
68 x 33 = 2244

Semi-circle:
a = πr²
a = 907.46

Add: 
400 + 2244 + 907.46 = 3551.46

The area is 3551.46

Hope this helps! :)