Question

Find the area of regular hexagon ABCDEF with the given consecutive vertices A(-4,2) and B(0,5)

Answer 1

we know that

[the area of regular hexagon]=(3(√3)/2)*b²
where
b------------> is the length side

find the length side b
distance between points A(-4,2) and B(0,5)
d=√[(5-2)²+(0+4)²]-------> d=√(9+16)----------> d=5 units

b=5 units
[the area of regular hexagon]=(3(√3)/2)*5²-----------> 64.95 units²