Question

I need help pleaseeeeee I do not know what to do here

Answer 1

256 in²

Explanation:

Area of a Hexagon (To find side length)

• A = 3√3 x l² x 1/2
• 384√3 = 3√3 x 1/2 x l²
• 256 = l²
• l = 16 in

Area of square

• Area = (Side length)²
• Area = (16)²
• Area = 256 in²

Answer 2

`A = 256`

Explanation:

Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for
`l` in the formula for the area of a hexagon:

`A = (3√(3))/(2)l^2\\384√(3) = (3√(3))/(2)l^2\\384 = (3)/(2)l^2\\256 = l^2\\16 = l`

Now that we have the side length, we can find the area of the square:

`A = l^2\\A = 16^2\\A = 256`