Dana has carpet squares that are 1/2 yards wide. She has a hallway that is 4 1/2 yards by 3 yards that she needs to cover. How many carpet squares does Dana need?

4 1/2 / 1/2 = 9

3/(1/2) = 6

A = 6 * 9

To find out how many carpet squares Dana needs, we first need to calculate the area of the hallway.

The hallway's dimensions are given as 4 1/2 yards by 3 yards. We can convert the mixed number into an improper fraction in order to perform calculations more easily.

4 1/2 yards = 4 + 1/2 = 8/2 + 1/2 = 9/2 yards

Now, we can calculate the area of the hallway by multiplying the length and width:

Area = 9/2 yards * 3 yards
= (9/2) * 3
= 27/2 square yards

Since the carpet squares are 1/2 yards wide, we can use this information to determine how many squares Dana needs. We can divide the area of the hallway by the area of one carpet square to find the number of squares needed.

Area of one carpet square = 1/2 yards * 1/2 yards = 1/4 square yards

Number of squares needed = (27/2 square yards) / (1/4 square yards)

To divide by a fraction, we can multiply by its reciprocal:

Number of squares needed = (27/2 square yards) * (4/1 square yards)
Number of squares needed = 108/2
Number of squares needed = 54

Dana needs 54 carpet squares to cover her hallway.