Question

The blue print below is a rectangular living room that has semicircular sitting area attached to it. Part A What is the perimeter of the figure in the blue print? Show or explain how you got your answer?

Answer 1

Perimeter = 62.84 ft

Step-by-step explanation:

The perimeter of the figure is the length of the blue line:

So, we know the length of some parts of the blue line but the part that surrounds the semicircle is missing. So, we can calculate the length of that part using the following equation:

`\text{Perimeter semicircle}=\pi\cdot r`

Where π is approximately 3.14 and r is the radius of the circle, in this case, 6 ft. So, the perimeter of the semicircle is:

`\text{Perimeter semicircle = 3.14}\cdot6\text{ = 18.84 ft}`

Therefore, the perimeter of the figure is:

Perimeter = 16 ft + 12 ft + 16 ft + 18.84 ft

Perimeter = 62.84 ft