Final answer:
Natalie's quilt can accommodate 12 blocks across its width and 15 blocks along its length, after accounting for a 3-inch border around the quilt.
Step-by-step explanation:
Natalie made a quilt with specific dimensions and detailed features.
To determine the number of blocks that run across the width and length of the quilt, we first need to account for the border.
The quilt is 54 inches wide with a 3-inch border on each side, which reduces the quilt's actual area for blocks by 6 inches (3 inches on each side), therefore the width available for blocks is 54 - 6 = 48 inches.
Since each block has a 4-inch side, the number of blocks that fit across the width is 48 ÷ 4 = 12 blocks.
Similarly, the length of the quilt is 66 inches, and after accounting for the 3-inch border on each end, the length available for blocks is 66 - 6 = 60 inches.
Thus, the number of blocks that run up and down the length is 60 ÷ 4 = 15 blocks.
Therefore, there are 12 blocks across the width and 15 blocks along the length of Natalie's quilt.