Answer:
1149.5 ft²
Step-by-step explanation:
1. Calculate the area of the rectangle
The formula for the area A of a rectangle is
A = lw
l = 34 ft and w = 26 ft, so
A = 34 ft × 26 ft = 884 ft²
2. Calculate the area of the semicircle
The formula for the area A of a circle is
A = πr², so the formula for the area of a semicircle is
A = ½πr²
The diameter d of the semicircle is 26 ft, so
r = ½d = ½ × 26 ft = 13 ft
A = ½π × (13 ft)² = ½π × 169 ft² = 265.5 ft²
3. Calculate the combined area
A = 884 ft² + 265.5 ft² = 1149.5 ft²
The area of the rose garden is 1149.5 ft².
