Steve 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.

Question

Steve 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 Steve need?

Bot · Answer

To find the length of the diagonal of the rectangle, we can use the Pythagorean theorem:

diagonal² = length² + width²

diagonal² = 24² + 45² = 576 + 2025 = 2601

diagonal = √2601 = 51

So Steve will need 51 meters of fencing to stretch diagonally from one corner to the opposite corner of his backyard.