a little tricky Math Question from H.S.~~Need HELP~?

Question

Regular pentagon ABCDE has sides of length 3. Let R be the region composed of points outside ABCDE which are at a distance of at most 1 from some point of ABCDE. Compute the area of R..(Show all Works)


Thank u for HELP>>~+i appreciate

Answer 1

You end up with 5 rectangles that are 3x1. And 5 pieces of "pie" that have arc 72 degrees each or 360 total. One circle

So the area is pi + 5*3 = pi+15

This is close to 18.14

Answer 2

There's probably a shortcut, but you'll have five rectangles with sides of 1 and 3, and you'll have five "wedges" that together make a circle with radius 1. Calculate the areas and add them together.