Lizzie and her wife need to paint the walls of their bedroom. The room is 12 feet by 14 feet, and it has a ceiling that is 10 feet high. What is the area that they need to paint?

To find the area that they need to paint, we need to calculate the total surface area of the walls in the bedroom.

First, let's find the area of the four walls.

The two longer walls have dimensions 12 feet by 10 feet, so the area of each of them is 12 * 10 = 120 square feet.

The two shorter walls have dimensions 14 feet by 10 feet, so the area of each of them is 14 * 10 = 140 square feet.

Now let's add up the areas of all four walls to find the total area that they need to paint:

2 * 120 + 2 * 140 = 240 + 280 = 520 square feet.

Therefore, Lizzie and her wife need to paint an area of 520 square feet.