Question

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

Answer 1

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 $x=2(\frac{1}{2}\cdot4\cdot6)$

Answer 2

Triangles area is bh/2

so the answer is d