Final answer:
The number of blocks that run across the width of the quilt is 19, while the number of blocks that run up and down the length of the quilt is 24.
Step-by-step explanation:
To find the number of blocks that run across the width of the quilt, we need to subtract the total amount of border from the width of the quilt and then divide that result by the side length of each block. In this case, the width of the quilt is 88 inches and there is a 6 inch border all the way around, so the usable width is 88 inches - 2(6 inches) = 76 inches. The side length of each block is 4 inches. Therefore, the number of blocks that run across the width of the quilt is 76 inches ÷ 4 inches = 19 blocks.
To find the number of blocks that run up and down the length of the quilt, we perform the same steps but with the length of the quilt and the side length of the block. The length of the quilt is 108 inches and there is a 6 inch border all the way around, so the usable length is 108 inches - 2(6 inches) = 96 inches. The side length of each block is 4 inches. Therefore, the number of blocks that run up and down the length of the quilt is 96 inches ÷ 4 inches = 24 blocks.