Final answer:
Mrs. Hall will need to purchase 48 square yards of carpeting to cover her 18 feet by 24 feet living room floor, as carpeting is sold by the square yard.
Step-by-step explanation:
Mrs. Hall wants to carpet the rectangular floor of her living room. To determine the amount of carpeting needed, which is sold by the square yard, we need to calculate the area of the floor in square yards. Given the dimensions of the living room floor are 18 feet by 24 feet, we first calculate the area in square feet and then convert it to square yards.
The area in square feet is calculated by multiplying the length by the width:
18 feet × 24 feet = 432 square feet. Since there are 3 feet in 1 yard, a square yard is 3 feet by 3 feet, which is 9 square feet. To convert square feet to square yards, we divide the area in square feet by 9.
So, the area in square yards is:
432 square feet ÷ 9 square feet per square yard = 48 square yards.
Therefore, Mrs. Hall will have to buy 48 square yards of carpeting to cover her living room floor wall-to-wall.