Question

Jordan is putting a fence around a garden that is shaped like a half circle and rectangle

Answer 1

92 ft

Explanation:

Assume the garden has the shape shown below.

The length of fencing equals the distance around three sides of the rectangle plus that around the semicircle.

1. Around the rectangle

Distance = 28 ft + 14 ft + 28 ft = 70 ft

2. Around the semicircle

For a circle.

C = 2πr

For the semicircle,

½C =½(2πr) = πr

D = 14 ft, so

r = 7 ft

`\text{Distance} = (22)/(7) * \text{7 ft} = \text{22 ft}`

3. Total distance

Distance = 70 ft + 22 ft = 92 ft

Jordan will need 92 ft of fencing.