Question

Which expression correctly calculates the perimeter of the shape below

Answer 1

Step-by-step explanation:

To determine the perimeter of a given shape is to find the distance all the way around the shape.

Looking at the given shape, we can see that we have two semicircles with a radius of 50 and a square.

The perimeter of a square is can be determined using the below formula

`\begin{gathered} P=4a \\ \text{where a = length of the side = 50} \\ \therefore P=4*50=200 \end{gathered}`

We can now determine the circumference of the two semicircles as shown below;

`\begin{gathered} C=2((\pi\cdot d)/(2)) \\ C=\pi d \\ \text{where d = diameter = 2 x radius = 2 x 50 =100} \\ \therefore C=100\pi \end{gathered}`

Therefore, the perimeter of the given shape can be found by adding the perimeter of the square and the circumference of the semicircles together;

`\text{Perimeter of the shape}=200+100\pi`