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?

1 answer

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.