An artist is commissioned to paint a large painting on a wall. The wall is a rectangle and it measures 87 feet by 65 feet. The artist charges $68 per square yard. The artist gives no discount for any chunk of area less than a square yard. Find the total charge for painting the wall.
87/3 = 29 yards
65/3 = 21.67 yards
29 * 21.67 * 68 = $_________________-
To find the total charge for painting the wall, we need to calculate the area of the wall in square yards and then multiply it by the artist's rate.
First, let's convert the dimensions of the wall from feet to yards. Since there are 3 feet in a yard, we divide the length and width of the wall by 3.
Length of the wall in yards = 87 feet / 3 feet/yard = 29 yards
Width of the wall in yards = 65 feet / 3 feet/yard = 21.67 yards (rounded to two decimal places)
Next, we calculate the area of the wall by multiplying the length and width in yards:
Area of the wall = Length x Width = 29 yards x 21.67 yards = 628.43 square yards (rounded to two decimal places)
Now that we know the area of the wall in square yards, we can calculate the total charge. The artist charges $68 per square yard, so we multiply the area by the rate:
Total charge = Area of the wall x Rate per square yard = 628.43 square yards x $68 per square yard
Using a calculator, we can calculate the total charge:
Total charge ≈ $42,747.24
Therefore, the total charge for painting the wall is approximately $42,747.24.