Nancy replaced all of the old vinyl tiles in her bathroom with new hardwood flooring. She replaced flooring in two areas of the bathroom: a 10 foot by 10 foot central area, and a 6 foot by 4 foot hallway. How many square feet of hardwood flooring did Nancy install in her bathroom? Give me reasons, before answering the question
10 feet by 10 feet central area is 10 * 10 = 100 square feet of space. 6 feet by 4 feet hallway is 4 * 6 - 24 square feet of space. Combined, the two areas where she replaced flooring contain 100 + 24 = 124 square feet of space. So the final answer is 124.