Courtney made this hexagon pattern. What equation will tell you how many total hexagons are needed for any given pattern number

?

 This calculator will tell you exactly how many hexagons you need to fill up the quilt. Just input the quilt’s dimensions and how big you’d like each hexagon, and youíll get an instant number!If youíd like to see the work behind the calculations, there are equations below as well that explain how the formula works. Click here to see the calculator.

Step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)