Kachima is making triangular bandanas for the dogs and cats in her pet club. The base of the bandana is the length of the collar with 4 inches added to each end to tie it on. The height is 1/2 of the collar length. If Kachima's dog has a collar length of 12 inches, how much fabric does she need in square inches? If Kachima makes a bandana for her friend's cat with a 6-inch collar, how much fabric does Kachima need in square inches?
I'm not a pet owner so somebody please set me straight: is pet apparel a productive context for mathematical inquiry? Does PETA know about this?
Previously: Unnatural Currents
Yes, they make triangular bandanas for dogs, single ply. Usually cut with zig-zag scissors. My dog comes home from every stay at the kennel looking like a boy scout. every. time. This is still a terrible problem though.