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Home » Standard Door Height Revealed—Could Your Door Be Too Tall? - Crankk.io

Standard Door Height Revealed—Could Your Door Be Too Tall? - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A science policy analyst is reviewing a proposal for a rectangular solar panel installation. The perimeter of the rectangle is 80 meters. What is the largest possible area of the rectangle?

📌 To maximize the area of a rectangle with a fixed perimeter, the rectangle should be a square.

📌 Set up the perimeter equation:

📌 Let the length be \( l \) and the width be \( w \). The perimeter is given by:

📌 2l + 2w = 80

📌 l + w = 40

📌 Express the area \( A \):

📌 A = l \times w

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Solutions are \(x = 3\) or \(x = 1\).
#### 3, 1
A sequence is defined by \(a_n = 2n + 3\). What is the 10th term?
Substitute \(n = 10\) into the formula: \(a_{10} = 2(10) + 3 = 20 + 3...
A rectangular garden has a length that is 3 meters more than twice its...
Substitute: \(2((2w + 3) + w) = 54\).
Simplify: \(2(3w + 3) = 54\), \(6w + 6 = 54\), \(6w = 48\), \(w = 8\).
#### Width: 8 meters, Length: 19 meters
If \(\log_b(64) = 3\), find \(b\).
Rewrite in exponential form: \(b^3 = 64\).

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