The cost of total paint is 176.696
Step-by-step explanation:
Given,
The length of two parallel lines (l and b) are 10 m and 16 m
Height (h) = 7.6 m
Cost of 5 l paint is 16.99
1 l of paint covers 1.9 m²
To find the cost of paint to cover the floor.
Formula
The area of the trapezium is = [tex]\frac{1}{2}[/tex](l+b)h
So,
The area of the floor = [tex]\frac{1}{2}[/tex](16+10)×7.6 m²
= 98.8 m²
Again,
1.9 m² will be covered by 1 l of paint
1 m² will be covered by [tex]\frac{1}{1.9}[/tex] l of paint
98.8 m² will be covered by [tex]\frac{98.8}{1.9}[/tex] l of paint
= 52 l
Now,
5 l of paint cost = 16.99
1 l of paint cost = [tex]\frac{16.99}{5}[/tex]
52 l of paint cost = [tex]\frac{16.99X52}{5}[/tex] = 176.696
Hence,
The cost of total paint is 176.696
