Answer:
629.72 square feet
Step-by-step explanation:
The area of the garden is the sum of the area of the rectangle and the area of the semicircle.
The area of the rectangle is length times width, so:
Area_rectangle = 23 ft * 14 ft = 322 ft²
The area of a circle is πr², but since we have a semicircle (half of a circle), we divide this by 2. The radius of the semicircle is the same as the width of the rectangle, which is 14 ft. So:
Area_semicircle = 1/2 * π * (14 ft)² = 1/2 * 3.14 * 196 ft² = 307.72 ft²
Adding these together gives the total area of the garden:
Area_garden = Area_rectangle + Area_semicircle = 322 ft² + 307.72 ft² = 629.72 ft²
So, the area of the garden is 629.72 square feet.
