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Home » \binom302 \cdot \binom903 - Abbey Badges

\binom302 \cdot \binom903 - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A' = \frac{\sqrt{3}}{4} (14)^2 = \frac{\sqrt{3}}{4} \cdot 196 = 49\sqrt{3} \text{ cm}^2

📌 \Delta A = A' - A = 49\sqrt{3} - 36\sqrt{3} = 13\sqrt{3} \text{ cm}^2

📌 Thus, the area increases by \(\boxed{13\sqrt{3}}\) square centimeters.Question: Find the area enclosed by the graph of $ |x| + |y| = 4 $.

📌 Solution: The equation $ |x| + |y| = 4 $ describes a diamond (or rhombus) centered at the origin. To find the vertices, consider the four cases for absolute values:

📌 $ x \geq 0, y \geq 0 $: $ x + y = 4 $, intercepts at $ (4, 0) $, $ (0, 4) $

📌 $ x \leq 0, y \geq 0 $: $ -x + y = 4 $, intercepts at $ (-4, 0) $, $ (0

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