Write an algebraic expression for the area of a regular hexagon with: a. A perimeter of 4x units and an apothem of 6 units: b. A perimeter of (6x+12) units and an apothem of 4 units:

## Step 1: Area of a regular polygon### The area of a regular polygon is given by the formula .## Step 2: Area of the hexagon (a)### Substitute the given perimeter and apothem into the area formula: .## Step 3: Area of the hexagon (b)### Substitute the given perimeter and apothem into the area formula: .