Take the square root:

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• Divide both sides by \(\sqrt{3}\):
• \frac{1}{4} s^2 = 36
• s^2 = 144
• When each side is increased by 2 cm, the new side length is:
• A' = \frac{\sqrt{3}}{4} (14)^2 = \frac{\sqrt{3}}{4} \times 196 = 49\sqrt{3}
• \Delta A = A' - A = 49\sqrt{3} - 36\sqrt{3} = 13\sqrt{3}

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