Suppose a quilt made up of squares has a length-to-width ratio of 5 to 4. The length of the quilt is 5x inches. The quilt can be made slightly larger by adding a border of 1-inch squares all the way around the perimeter of the quilt. Write a polynomial expression for the area of the larger quilt.

20x + 18x + 4

Step-by-step explanation:

The quilt was in a 5:4 ratio, which meant the length was 5x and the width was 4x. The larger quilt added a border of 1-inch squares, which meant that the length & width would increase by 2 inches.

We have the area as (5x + 2)(4x + 2) = 20x + 10x + 8x  + 4

                                                             = 20x + 18x + 4

Solution: 20x + 18x + 4