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Home » \[ 2w = 12 \] - Abu Waleed Tea

\[ 2w = 12 \] - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 So, the value of $ b_4 $ is approximately:

📌 \boxed{0.6197}

📌 Question: A surgical robot arm moves in a rectangular region whose perimeter is 100 units. To maximize precision, the area of the region must be as large as possible. What is the largest possible area?

📌 Solution: Let the rectangle have length $ l $ and width $ w $. The perimeter is:

📌 2l + 2w = 100 \Rightarrow l + w = 50

📌 The area is $ A = lw $. Express $ w = 50 - l $, so:

📌 This is a quadratic in $ l $, opening downward, so maximum occurs at the vertex:

📌 l = \frac{50}{2} = 25 \Rightarrow w = 25

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