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.

the area is the average of the bases, multiplied by the height

divide the area by 12 to find the number of boxes needed

remember to round up to the next WHOLE number, if necessary

To find the cost of painting the trapezoidal mural, we need to determine the total area that needs to be painted.

The formula to calculate the area of a trapezoid is:

Area = (b1 + b2) * h / 2

where b1 and b2 are the lengths of the bases, and h is the height.

In this case, b1 = 11m, b2 = 9m, and h = 6m.

Let's calculate the area:

Area = (11m + 9m) * 6m / 2
Area = (20m) * 6m / 2
Area = 120m^2 / 2
Area = 60m^2

Now that we know the area of the mural is 60 square meters, we can calculate the number of boxes of paint needed. We know that one box of paint can cover an area of 12 square meters, so:

Number of boxes = Area / Coverage per box
Number of boxes = 60m^2 / 12m^2
Number of boxes = 5 boxes

Since each box of paint costs $16, the cost of painting the mural can be calculated by multiplying the number of boxes needed by the cost per box:

Cost = Number of boxes * Cost per box
Cost = 5 boxes * $16/box
Cost = $80

Therefore, the cost of painting the trapezoidal mural with bases 11m and 9m and height 6m would be $80.