That's a square and a semicircle so we should calculate the perimeter for each one and then add them together.
Let's start with the easy one: the square
The perimeter of a square = 4x where x = one side of the square
Since the width of the shape is 5, that means the other three sides of the square should also be five so:
perimeter of square = 4(5)
perimeter of square = 20 units
Now let's find the perimeter of the semicircle.
That equation is this:
perimeter of semicircle = 1/2(π x diameter) + diameter
We know that the width is 5 which means the diameter is 5.
Let's plug that in!
perimeter of semicircle = 1/2(π x 5) + 5
Multiplying pi by 5 and dividing it in half will give us a decimal, so we have to round that to the second place:
perimeter of semicircle = 1/2(5π) +5
perimeter of semicircle ≈ 7.85 + 5
perimeter of semicircle ≈ 12.85 units
Like we said at the beginning, this is two shapes in one so we have to add the perimeter of the square to the perimeter of the semicircle
perimeter of square = 20 units
perimeter of semicircle ≈ 12.85 units
20 + 12.85 = 32.85 units
So the perimeter of the shape = 32.85 units
