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Home » So the number of valid configurations is \(\boxed20\) - Londonproperty

So the number of valid configurations is \(\boxed20\) - Londonproperty

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 The difference is \( (n+1)^2 - n^2 = 2n + 1 = 35 \).

📌 Solving \( 2n + 1 = 35 \) gives \( 2n = 34 \) and \( n = 17 \).

📌 The integers are 17 and 18.

📌 #### 17 and 181.

📌 Let the width of the rectangle be \( w \).

📌 The perimeter is given by \( 2(w + 3w) = 64 \).

📌 Solving, \( 2 \times 4w = 64 \) leads to \( 8w = 64 \), so \( w = 8 \).

📌 The area is \( w \times length = 8 \times 24 = 192 \).

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