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?

Answer 1

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.