Question

4 what is the area of regular hexagon abcdef? explain or show your reasoning.

Explanation:

Step1: Find square side length

$15 + 30 + 15 = 60$

Step2: Calculate square area

$A_{square} = 60 \times (26+26) = 60 \times 52 = 3120$

Step3: Find area of one right triangle

$A_{triangle} = \frac{1}{2} \times 15 \times 26 = 195$

Step4: Calculate total area of 4 triangles

$4 \times 195 = 780$

Step5: Subtract triangle areas from square

$A_{hexagon} = 3120 - 780$

Answer:

2340