A trapezoidal mural with bases 11m and 9m and height 6m needs to be painted. What is the cost of painting it if a box of paint in any color is $16 and with each box can be painted area of 12m2.
well, the area is (11+9)/2 * 6 = 60 m^2
How many boxes is that?
So, how much cost?
$80
To find the cost of painting the trapezoidal mural, we first need to determine the total area that needs to be painted.
The formula to calculate the area of a trapezoid is:
Area = (base1 + base2) * height / 2
For the given trapezoid, with bases of 11m and 9m, and a height of 6m, we can substitute these values into the formula to find the area:
Area = (11m + 9m) * 6m / 2
Area = 20m * 6m / 2
Area = 120m2
So, the total area that needs to be painted is 120m2.
Next, we need to determine how many boxes of paint will be required. We know that each box can paint an area of 12m2, so we can divide the total area by the area covered by one box:
Number of boxes = Total area / Area covered by one box
Number of boxes = 120m2 / 12m2
Number of boxes = 10
Therefore, we will need 10 boxes of paint to cover the entire mural.
Finally, to find the cost of painting the mural, we multiply the number of boxes needed by the cost of each box:
Cost of painting = Number of boxes * Cost per box
Cost of painting = 10 boxes * $16 per box
Cost of painting = $160
Hence, the cost of painting the trapezoidal mural would be $160.