A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 20ft long and 16ft wide.Find the area of the garden. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.16ft20ft

The area of the garden can be found by adding the area of the rectangle and the area of the semicircle.

1. Find the area of the rectangle: The area of a rectangle is found by multiplying its length by its width. So, the area of the rectangle is 20ft * 16ft = 320 square feet.

2. Find the area of the semicircle: The area of a circle is found by squaring its radius and multiplying by π. The radius of the semicircle is half the width of the rectangle, or 16ft / 2 = 8ft. So, the area of the full circle would be (8ft)^2 * π = 64π square feet. But since we only have a semicircle (half a circle), we need to divide this by 2. So, the area of the semicircle is 64π / 2 = 32π square feet.

3. Add the areas together: The total area of the garden is the sum of the area of the rectangle and the area of the semicircle. So, the total area is 320 square feet + 32π square feet = 320 + 32*3.14 = 320 + 100.48 = 420.48 square feet.

So, the area of the garden is 420.48 square feet.