You charge $2 per square yard to paint. Which equation can you solve to find the amount you will charge to paint a triangular wall with a base of 4 yards and a height of 6 yards?

A- (1/2⋅4⋅6)÷2=x

B- (1/2•4•6)x=2

C- 2x=1/2•4•6

D- 2•(1/2•4•6)=x

Verified Answer :

triangles area is bh/2

so the answer is d

Answer: D. \(2(\frac{1}{2}\cdot4\cdot6)=x\)


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 = \(\frac{1}{2}\times\ base\times\ height\)

Thus, the area of the triangular wall = \(\frac{1}{2}\times4\times6=\frac{1}{2}\cdot4\cdot6\)

Now, the total cost of painting the triangular wall =\(x=2\times\text{area}\)

Hence,  the total cost of painting the triangular wall \(x=2(\frac{1}{2}\cdot4\cdot6)\)