Final answer:
To find the amount of wall that will be painted when 1/2 of the wall is painted, multiply the length by the height and then multiply by 1/2. The spare feet that will be painted can be found by subtracting the amount of square feet that will be painted from the total area of the wall.
Step-by-step explanation:
To find how many square feet of the wall will be painted when 1/2 of the wall is painted, we need to calculate 1/2 of the wall's area. The formula to calculate the area of a rectangle is length times width. So, we multiply the length of the wall, which is 16 2/3 feet, by the height of the wall, which is 8 2/5 feet. By converting the mixed numbers to improper fractions, we have 16 2/3 = 50/3 and 8 2/5 = 42/5. Multiplying these fractions gives us (50/3) * (42/5) = 2100/15 = 140 square feet.
Since 1/2 of the wall is being painted, we can calculate the amount of square feet that will be painted by multiplying the area of the wall by 1/2. So, (140 square feet) * (1/2) = 70 square feet. Therefore, 70 square feet of the wall will be painted.
To find the number of spare feet that will be painted, we subtract the amount of square feet that will be painted from the total area of the wall. The total area of the wall is 140 square feet, and 70 square feet will be painted. So, 140 square feet - 70 square feet = 70 square feet of spare feet will be painted.