Matias is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Matias need?

The length of fencing Matias needs is 51 meters

Step-by-step explanation:

The given parameters are;

The dimensions of Matias' backyard from which half is to be turned into a chicken pen = 24 m by 45 m

The orientation of the fence that is will be made for the chicken pen = Stretch diagonally across the backyard (from a corner to the opposite corner)

From the question, Matias' backyard is rectangular in shape

Therefore, by Pythagoras theorem;

The length of the diagonal fence = √((24 m)² + (45 m)²) = 51 m

Matias needs 51 meters of fencing for the diagonal fence.