We can use the formula for the area of a rectangle, which is:
Area = length x width
We know that the area of Mr. Baker's yard is 1,472 square feet, and the width is 32 feet. So we can substitute these values into the formula and solve for the length:
1,472 = length x 32
Dividing both sides by 32, we get:
length = 1,472 / 32 = 46
Therefore, the length of Mr. Baker's yard is 46 feet.