Question

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?

Answer 1

The length of fencing Matias needs is 51 meters

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.