Area of a regular hexagon with side length 5 and apothem 4.33.

Let’s solve this step by step.

We are given a regular hexagon (6 sides), and each side is 5 units long.
We’re also told the apothem (the distance from the center to the middle of a side) is 4.33 units.
The formula for area of a regular polygon is:

> A = ½ × perimeter × apothem

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Step 1: Find the perimeter

Perimeter = number of sides × length of one side
→ Perimeter = 6 × 5 = 30

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Step 2: Plug into the formula

A = ½ × 30 × 4.33

First, ½ × 30 = 15
Then, 15 × 4.33

Let’s calculate that:

15 × 4 = 60
15 × 0.33 = 4.95
So, 60 + 4.95 = 64.95

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Double-check with direct multiplication:

15 × 4.33
= 15 × (4 + 0.3 + 0.03)
= 15×4 = 60
15×0.3 = 4.5
15×0.03 = 0.45
Total = 60 + 4.5 + 0.45 = 64.95

✔ Correct.

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Final Answer:
64.95