Question

Laura's yard is in the shape of a square and a half-circle. She just got a puppy named Sprinkles for her birthday. In order to keep him safe, she wants to line the perimeter of her yard with a fence. How much fencing will she need to enclose the entire yard and keep Sprinkles from running away?

Answer 1

The total perimeter she would need to fence would be:

4L + πr

Explanation:

Since her yard is a square and half a circle, and she wants to fence the whole distance around the square and the half circle, then she needs to know the perimeter of a square and semicircle.

The perimeter of a square which is the distance around the square is given by 4L where L is the side length.

The perimeter of a circle, which is the circumference of a circle is 2πr, where r is the radius of the circle Therefore, half a circle would be 2πr/2 = πr.

The total perimeter she would need to fence would be:

4L + πr.