Question

A rose garden is formed By joining a rectangle and a semicircle the rectangle is 34 feet long and 26 foot wide find the area of the garden

Answer 1

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.