Question

A rose garden is formed by joining a rectangle and semicircular, as shown below. The rectangle is 24ft long and 15 ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer).

Answer 1

The fence shall be 86.55 ft long

Explanation:

Let's say, this garden should consist of two parts - rectangle and semicircular, so the rectangle part fence shall be 24 ft + 15 ft + 24 ft = 63 ft long. Since semicircular is aligned to the rectangle, then the diameter of the semicircular will be a opposite side length - D = 15 ft. Let's find out a semicircular length:

C = pi * D = 3.14 * 15 ft = 47.1 ft

Since this is circular length, we should divide it by 2, so semicircular length is 47.1 / 2 = 23.55 ft

So the fence shall be 63 ft + 23.55 ft = 86.55 ft long