Question

A person walks around an equilateral triangle with side length of 4 ft long If the person maintains a distance of 4 ft. from the triangle at all times how far must the person walk around fully?

Answer 1

`12+8pi` feet

Explanation:

Walking a straight line parallel to each side, the person will walk `3xx4 " feet"`

At each corner the person must walk `1/3` of a circle with radius `4 " feet"` to maintain his/her distance of `4 " feet"` from the triangle:
`3 xx (1/3 * 2 * 4 * pi)=8pi " feet"`

For a total distance of `12+8pi" feet"`