Question

An artist is planning to paint an arrow using the pattern shown. What is the amount of area in square feet that will be painted?

Answer 1

To calculate the area that will be painted, we first need to find the total area of the diamond shape and then subtract the area of the triangle inside the diamond.

First, let's find the area of the diamond shape:
The diamond is made up of two triangles, each with a base of 4 feet and a height of 6 feet.
Area of one triangle = (1/2) * base * height
Area of one triangle = (1/2) * 4 feet * 6 feet = 12 square feet

Since there are two triangles making up the diamond, the total area of the diamond shape is:
Total area of diamond = 2 * Area of one triangle
Total area of diamond = 2 * 12 square feet = 24 square feet

Next, let's find the area of the triangle inside the diamond:
The triangle inside the diamond has a base of 2 feet and a height of 3 feet.
Area of the triangle inside the diamond = (1/2) * base * height
Area of the triangle inside the diamond = (1/2) * 2 feet * 3 feet = 3 square feet

Finally, to find the amount of area that will be painted, we need to subtract the area of the triangle inside the diamond from the total area of the diamond:
Area to be painted = Total area of diamond - Area of triangle inside diamond
Area to be painted = 24 square feet - 3 square feet = 21 square feet

Therefore, the amount of area in square feet that will be painted is 21 square feet.