Answer: D. [tex]2(\frac{1}{2}\cdot4\cdot6)=x[/tex]
Step-by-step explanation:
Given : The charge of painting = $2 per square yard
Let x be the total cost of painting the triangular wall .
The base of the triangular wall = 4 yards
The height of the triangular wall = 6 yards
We know that the area of the triangle = [tex]\frac{1}{2}\times\ base\times\ height[/tex]
Thus, the area of the triangular wall = [tex]\frac{1}{2}\times4\times6=\frac{1}{2}\cdot4\cdot6[/tex]
Now, the total cost of painting the triangular wall =[tex]x=2\times\text{area}[/tex]
Hence, the total cost of painting the triangular wall [tex]x=2(\frac{1}{2}\cdot4\cdot6)[/tex]
