Question

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 22ft long and 14ft wide.

Find the area of the garden. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

Explanation:

To find the area of the rose garden, we need to find the sum of the areas of the rectangle and the semicircle.

Area of rectangle = length x width = 22 ft x 14 ft = 308 sq ft

Area of semicircle = (1/2) x pi x radius^2, where radius = diameter/2

The diameter of the semicircle is the width of the rectangle, which is 14 ft. So the radius is 7 ft.

Area of semicircle = (1/2) x 3.14 x 7^2 = 3.14 x 24.5 = 77.03 sq ft

Total area of rose garden = area of rectangle + area of semicircle

= 308 sq ft + 77.03 sq ft

= 385.03 sq ft

Therefore, the area of the rose garden is 385.03 square feet.