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

triangles area is bh/2

so the answer is d

Answer 2

Answer: D.
`2((1)/(2)\cdot4\cdot6)=x`

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 =
`(1)/(2)*\ base*\ height`

Thus, the area of the triangular wall =
`(1)/(2)*4*6=(1)/(2)\cdot4\cdot6`

Now, the total cost of painting the triangular wall =
`x=2*\text{area}`

Hence, the total cost of painting the triangular wall
`x=2((1)/(2)\cdot4\cdot6)`