Annita is sewing a lace edge around a rectangular quilt. She will need 154 inches of lace to do the entire quilt. If the quilt is 46 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 four sides, which is:
P = 2L + 2W
where W is the width of the quilt.
We know that Annita needs 154 inches of lace to go around the entire quilt. This means:
P = 154
Substituting the given values, we get:
2L + 2(46) = 154
Simplifying the equation, we get:
2L + 92 = 154
2L = 154 - 92
2L = 62
L = 31
Therefore, the length of the quilt is 31 inches.