Below is a scale of my garden. It is drawn at 3in: 8ft scale. To the nearest whole squre foot what is the area of my garden?

16777216in.? 8^8

408 in. 2

To find the area of your garden, we need to determine the measurements of the sides of the octagon using the given scale.

The scale provided is 3in:8ft, which means that for every 3 inches on the drawing, it represents 8 feet in real life.

Since one side of the octagon on the drawing is 8 inches, we can use proportions to find the actual length of the side in feet.

Using the scale, we set up the proportion:
3 inches / 8 feet = 8 inches / x feet

To solve for x (the length of one side in feet), we cross-multiply and divide:
3 inches * x feet = 8 inches * 8 feet
3x = 64
x = 64 / 3 ≈ 21.33 feet

Now that we know the length of one side is approximately 21.33 feet, we can use the formula for the area of a regular octagon:
Area = (2 + 2√2) * side^2

Plugging in the value of the side, we get:
Area = (2 + 2√2) * 21.33^2

Calculating this expression, we find that the approximate area of your garden is 975.25 square feet. Rounded to the nearest whole square foot, the area is 975 square feet.