With this exercise show work and be detailed

This hexagon is split into two congruent trapezoids. You can find the area of one trapezoid and then double it to get the area of the entire hexagon. The formula for area of a hexagon is A = a + b / 2(h), where a and b are the base lengths and h is the height. The given values are as follows:

a = 40
b = 60
h = 24

Let's plug them in and solve.

A = a + b / 2(h)
A = 40 + 60 / 2(24
A = 100 / 2(24)
A = 50(24)
A = 1200

Remember we have to double the area of the trapezoid to get the area of the whole hexagon.

1200 × 2 = 2400

The area of the hexagon is 2,400 in².

Formula for distance between two points:

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

x₁ = -2, y₁ = 4, x₂ = 0,  y₂ = -6

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

d = √( (0 -  -2)² + (-6 - 4)²)

d = √( (0 + 2)² + (-10)²)

d = √( (2)² + (-10)²)

d = √(4 + 100)

d = √104        Use a calculator

d  ≈ 10.1980

d ≈ 10.20 units    to the nearest hundredth.