Final answer:
To find the length of Mrs. Tyler's room, we must first calculate the area of the adjacent closet, subtract it from the total combined area, and then divide by the shared width. The closet occupies 375 square feet, resulting in an area of 875 square feet for Mrs. Tyler's room. Dividing this by the shared width of 25 feet, we find that her room is 35 feet long.
Step-by-step explanation:
The student is asking to find the length of Mrs. Tyler's room when it shares a common wall with a storage closet. The storage closet is given to be 15 feet long and 25 feet wide, and the combined area of both the room and the closet is 1250 square feet. To solve this, we'll calculate the area of the closet first and then subtract that from the total area to find the area of Mrs. Tyler's room. Using the area formula for a rectangle, Area = length × width, the area of the closet is 15 feet × 25 feet = 375 square feet. Subtracting this from the total combined area, we get 1250 square feet - 375 square feet = 875 square feet as the area of Mrs. Tyler's room.
Since Mrs. Tyler's room shares one common dimension with the closet, we'll assume it shares the same width of 25 feet. Thus, the length of Mrs. Tyler's room will be the area of her room divided by the width. This gives us 875 square feet ÷ 25 feet = 35 feet as the length of Mrs. Tyler's room. Therefore, the correct answer is 35 feet.