To determine how many square yards Samuel's room is, and how much he will be spending on the carpet, you'll first have to calculate the square footage of the room. You do this by multiplying the length of the room by the width. In this case, sometimes referred to as the area of a rectangle, the formula is simply length times width.
So, if Samuel's room is 14 feet long and 20 feet wide, the calculation would be 14 feet * 20 feet = 280 square feet.
Next, you'll have to convert square feet into square yards, since carpet is sold by the square yard. A square yard is the same as 9 square feet. Therefore, to convert 280 square feet to square yards, you divide 280 by 9.
So, 280 square feet is equivalent to approximately 31.11 square yards (or more precisely 31.11111111111111 square yards).
Finally, to find out how much Samuel will be spending, multiply the number of square yards (31.11) by the cost of the carpet per square yard ($1.74).
Doing this multiplication brings the total cost to approximately $54.13 (or more precisely 54.13333333333333 dollars).
In conclusion, Samuel's living room is around 31.11 square yards, and it would cost him about $54.13 to carpet the room.