Question

Aubrey is painting a mural of an ocean scene. The triangular sail on a sailboat has a base of 6 feet and a height of 4 feet. Aubrey will paint the sail using a special white paint. A container of this paint covers 10 square feet and costs $6.79 per container. How much will Aubrey spend on the white paint?

Answer 1

$8.15

Explanation:

The area needed for painting is a triangle with base = 6 and height = 4

Area of a Triangle is given by:

`A=0.5bh`

Where b is the base

and

h is the height

So area needed for painting is:

`A=0.5bh\\A=0.5(6)(4)\\A=12`

Given,

10 sq. ft. requires 6.79 dollars, we need to find how much dollars would be need to paint 12 sq. ft.

We can write a ratio and solve for the amount Aubrey would need (let amount be "x"). We write ratio, cross multiply, and solve. Shown below:

`(10)/(6.79)=(12)/(x)\\10x=6.79*12\\10x=81.48\\x=8.148`

Aubrey would need $8.15 to paint the sail