Final answer:
The height of the room is 4 feet (rounded to the nearest thousand).
Step-by-step explanation:
To find the height of the room, we can use the formula for the area of a rectangle: length x width. In this case, the given area is 42 ft2 and the width is 10 ft. By rearranging the formula, we can solve for the length: length = area / width. Plugging in the values, we get length = 42 ft2 / 10 ft = 4.2 ft.
Therefore, the height of the room rounded to the nearest thousand is 4 feet (since the question asks for the nearest thousand).