You are assisting a property management firm in verifying the dimensions of a rectangular bedroom in a new housing development. The room's area is 117 square feet, and the length is known to be four feet more than the width ($w$). Which quadratic equation in standard form correctly models this situation?

A real estate developer is calculating the dimensions of a rectangular bedroom for a property listing. The room has an area of ${}117$ square feet, and the length is known to be ${}4$ feet longer than the width ($w$). To ensure the listing is accurate, match each mathematical component to its specific role in the calculation process.

An interior designer is calculating the dimensions of a rectangular bedroom to determine the amount of flooring required. The room has an area of 117 square feet, and the length is 4 feet more than the width ($w$). Arrange the following steps in the correct order to solve for the room's dimensions using the geometry problem-solving strategy.

A property manager is verifying the dimensions of a rectangular bedroom in a building plan. The room has a total area of 117 square feet, and the length is known to be 4 feet more than the width. Based on these specifications, the width of the bedroom is ____ feet.

True or False: In the geometric problem-solving strategy for a room with an area of 117 square feet and a length of $w + 4$, the mathematical solution $w = -13$ is discarded because the width of a physical object cannot be a negative value.