Answer:Given that the floor is 10 yards long and 5 yards wide, we can calculate the area by multiplying the length and width:
Area = Length x Width
Converting the yards to feet (since the cost is given in dollars per square foot), we get:
Length = 10 yards = 30 feet
Width = 5 yards = 15 feet
Area = 30 feet x 15 feet = 450 square feet
Now, we can determine the cost of refinishing the floor. Since the area is larger than 300 square feet, we will use the additional cost per square foot:
Additional cost per square foot = $1.75
Total cost = (Base cost per square foot x Area) + (Additional cost per square foot x Additional area)
For the base cost per square foot, we have:
Base cost per square foot = $2
For the additional area, we have:
Additional area = Area - 300 square feet
Plugging in the values:
Additional area = 450 square feet - 300 square feet = 150 square feet
Now, let's calculate the total cost:
Total cost = ($2 x 300 square feet) + ($1.75 x 150 square feet)
Total cost = $600 + $262.50
Total cost = $862.50
Therefore, it would cost $862.50 to refinish a rectangular floor that is 10 yards long and 5 yards wide.