A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 20 ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required?

(Use the value for 3.14, and do not round your answer. Be sure to include the correct unit in your answer.)

133 ft

Step-by-step explanation:

Given in the question,

length of the rectangle = 31 ft

width of the rectangle = 20 ft

diameter of semicircle = 20 ft

radius of semicircle = 20/2 ft = 10 ft

Formula to use:

perimeter of rectangle + perimeter of semicircle

perimeter of rectangle = 2 (l+w)

perimeter of semicircle = 1/2 (2πr)

Plug values in the formula above

2 (31 + 20) + 3.14 (10)

133.4 ft

≈ 133 ft