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.
$80
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To find the cost of painting the trapezoidal mural, we first need to find the area of the mural. The formula for the area of a trapezoid is:
Area = (1/2) × (base1 + base2) × height
Given that the bases are 11m and 9m, and the height is 6m, we can calculate the area as follows:
Area = (1/2) × (11m + 9m) × 6m
= (1/2) × 20m × 6m
= 10m × 6m
= 60m²
Now let's calculate the number of boxes of paint needed to cover this area. Each box can cover 12m².
Number of boxes = Area / Area covered by one box of paint
= 60m² / 12m²
= 5 boxes
So, we need 5 boxes of paint to cover the mural. Each box costs $16, so the total cost of painting the trapezoidal mural would be:
Total cost = Number of boxes × Cost per box
= 5 boxes × $16/box
= $80
Therefore, the cost of painting the trapezoidal mural would be $80.