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
Accepted Solution
A:
Answer:1149.5 ft² Step-by-step explanation:1. Calculate the area of the rectangleThe formula for the area A of a rectangle isA = lwl = 34 ft and w = 26 ft, soA = 34 ft × 26 ft = 884 ft²2. Calculate the area of the semicircleThe formula for the area A of a circle isA = πr², so the formula for the area of a semicircle isA = ½πr²The diameter d of the semicircle is 26 ft, sor = ½d = ½ × 26 ft = 13 ftA = ½π × (13 ft)² = ½π × 169 ft² = 265.5 ft²3. Calculate the combined areaA = 884 ft² + 265.5 ft² = 1149.5 ft²The area of the rose garden is 1149.5 ft².