Question

A rose garden is formed by joining a rectangle and a semicircle. The rectangle is 33ft long and 21ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required. Use 3.14 for pi, and don't round your answer.

Answer 1

The perimeter of the garden is 126.81 feet.

Explanation:

We are given the following in the question:

Dimensions of rectangle:

Length, l = 33 feet

Width, w = 21 feet

Dimension of semicircle:

Diameter of circle, d = 33 feet

`r = (d)/(2) = (33)/(2) = 16.5`

Perimeter of garden =

`P =\text{(Length + 2(Width)) + Perimeter of semi circle}\\P =l + 2(w) + \pi(r)\\P = 33 + 2(21) + 3.14(16.5)\\P = 126.81`

Thus, the perimeter of the garden is 126.81 feet.