Q:

Eric wants to double protect his flower bed with a regular hexagonal shaped fence surrounded by a rectangular fence. How many feet of fencing does Eric need to surround his entire flower bed? Fencing is only sold in whole number quantities. Do not include units in your answer.

Accepted Solution

A:
Answer:78 feetStep-by-step explanation:COmplete Question is in attached image.Eric will want to buy fencing that is sum of perimeter of the square border outside and hexagon inside.Perimeter is the sum of all sides.Perimeter of hexagon is sum of 6 sides.Each side is 5, soPerimeter of Hexagon = 5 + 5 + 5 + 5 +5 +5 = 30Now,Perimeter of Square is sum of all 4 sides measuring 12 each, soPerimeter of Square = 12 + 12 + 12 + 12 = 48Total amount of fencing needed = 30 + 48 = 78