Just count the Pegs
Freddie Brief has a fresh shortcut to obtain the area of any polygon on the geoboard that has no pegs on the in house. His formula is like a rule to get an In-Out in which the In is the volume of pegs for the boundary and out is the area of the number.
Sally Short has a magic formula for any geoboard polygon with exactly four pegs for the boundary. All you have to tell her is definitely how various pegs are in the in house and she can use her formula to obtain the are instantly.
Frashy Shortest says this lady has the best formula in which you make any polygon on the geoboard and tell her both the volume of pegs in the interior and the number of pegs on the boundary and her formula provides you with the area right away.
Your goal from this POW is to find Frashy's super solution but tou might want to begin with her friends formulas.
you Begin with Freddy's formula
a. Find a solution for the region of polygons with no pegs in the in house. The number of boundaries is the In and the Away is the place in the In-Out table.
b. Find a several formula that actually works for polygons with 1 peg inside the interior.
c. Pick a quantity bigger than one and discover the area with this number of pegs in the in house.
d. Do more circumstances like problem c
installment payments on your Find Sally's formula and more like it, as described in 2a through 2c.
a. Find a solution for the region of polygons with specifically four pegs on the border.
b. Select a number both than 4 and find the region of polygons with that volume of pegs for the boundary.
c. Do even more cases just like of 2b
When you have finished work on Queries 1 and 2, look for a super solution that works for all figures. Your formula needs to have two advices and the result should be the location.
Question #1 a-d
a. I first began creating polygons on my geoboard paper without having interior pegs and found the number of exterior pegs and the region. After creating 6 shapes on my geoboard paper I created a great in-out desk.
In ( pegs)5 671014...