Question

Nancy wants to make a quilt that is 88 inches by 64 inches. Each block is 12 inches by 12 inches, and there is a 2-inch border around the entire quilt. How many blocks will Nancy need to make her quilt?

A. 54 blocks
B. 56 blocks
C. 60 blocks
D. 64 blocks

Answer 1

To find the number of blocks Nancy will need to make her quilt, we need to calculate the dimensions of the quilt without the border and divide it by the size of each block. After adding the border, the total number of blocks needed is 39 blocks.

Step-by-step explanation:

To find the number of blocks Nancy will need, we need to calculate the dimensions of the quilt without the border. The length of the quilt without the border is 88 inches - (2 inches x 2) = 88 inches - 4 inches = 84 inches.

The width without the border is 64 inches - (2 inches x 2) = 64 inches - 4 inches = 60 inches. Next, we divide the length and width without the border by the size of each block, which is 12 inches.

So, the number of blocks for the length is 84 inches ÷ 12 inches = 7 blocks, and the number of blocks for the width is 60 inches ÷ 12 inches = 5 blocks.

Finally, we calculate the total number of blocks needed by multiplying the number of blocks for the length and width, which is 7 blocks x 5 blocks = 35 blocks.

However, we need to include the border, which means we add an additional layer of blocks around the quilt.

So, the total number of blocks Nancy will need is 35 blocks + 4 blocks = 39 blocks.