Final answer:
Autumn will need c) 89 inches of fabric to make the two borders on the longer sides of her baby quilt, as the border should be applied to the length of 44 1/2 inches on both sides.
Step-by-step explanation:
To calculate how much fabric Autumn will need to make the two borders along the longer sides of the quilt, we first need to look at the dimensions she provided for the center of the quilt, which are 30 1/2 inches by 44 1/2 inches.
The borders will only be added to the longer sides of the quilt, so we will focus on the length which is 44 1/2 inches. Since there are two longer sides, we need to double the length of one side to get the total length of fabric needed:
44 1/2 inches + 44 1/2 inches = 89 inches
Therefore, Autumn will need 89 inches of fabric to make the two borders on the longer sides of her baby quilt.