Final answer:
Michael will need 54 yards of fencing to cover three sides of his rectangular backyard, as he doesn't need to fence the side along his house.
Step-by-step explanation:
The question concerns rectangular dimensions and perimeter calculations to determine how many yards of fencing Michael will need. Since the backyard is 22 yards by 16 yards and Michael only needs to fence three sides (two shorter sides and one long side, with the fourth side against the house), we can calculate the necessary length of the fencing as follows:
Length of fencing for the two short sides (16 yards each) = 2 Ă— 16 yards = 32 yards.
Length of fencing for one long side (22 yards) = 22 yards.
Total length of fencing needed = 32 yards + 22 yards = 54 yards.
Therefore, Michael will need 54 yards of fencing for three sides of his backyard.