At another park in Chicago, neighbors get together to plan a community garden. Plans for the community garden are shown below.
a) The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points—1 point for each length calculation and 1 point for the total distance)
b) Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points)