Annita is sewing a lace edge around a rectangular quilt. She will need 144 inches of lace to do the entire quilt. If the quilt is 38 inches wide, how long is the quilt?
Let's assume the length of the quilt is "L" inches.
The perimeter of the quilt is the sum of all sides, which is:
P = 2L + 2W
where W is the width of the quilt.
We know that Annita needs 144 inches of lace to go around the entire quilt. This means:
P = 144 inches
Substituting the values of P and W, we get:
144 = 2L + 2(38)
144 = 2L + 76
2L = 144 - 76
2L = 68
L = 34
Therefore, the length of the quilt is 34 inches.