A package designer wants the hexagonal base of a hat box to have an area of about 200 in.2. About how long is each side?

About 9inches long

Step-by-step explanation:

Area of a hexagon = 3√3/2 a²

a is the length of each side

Given

Area of the hexagon = 200in²

Substitute

200 = 3√3/2 a²

200×2 = 3√3 a²

400 = 3√3a²

a² = 400/3√3

a² = 400/5.196

a² = 76.982

a = √76.982

a = 8.774

Hence the length of each side is about 9inches long (to nearest inches)

the first one is true

the second one is true

the third one is false

the fourth one is true

you got them all correct

if you need to know why, please let me know