Question

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.)

Answer 1

133 ft

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