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Home » Total area of six lateral triangles: - Aurero

Total area of six lateral triangles: - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 \( 5^2 + 12^2 = c^2 \)

📌 \( 25 + 144 = c^2 \)

📌 \( c^2 = 169 \)

📌 \( c = \sqrt{169} = 13 \) meters

📌 #### 131. A rectangular garden has a length that is 3 times its width. If the perimeter of the garden is 64 meters, what is the area of the garden?

📌 2(w + 3w) = 64

📌 Simplifying gives:

📌 8w = 64 \quad \Rightarrow \quad w = 8

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Hence, $ E(10) = 10^2 = 100 $.
Question: An oceanographer models the depth $ d(t) $ (in meters) of a...
Solution: We are given that $ d(t) $ is a cubic polynomial satisfying:
d(1) = 1,\quad d(2) = 8,\quad d(3) = 27,\quad d(4) = 64.
Observe:
= 1^3,\quad 8 = 2^3,\quad 27 = 3^3,\quad 64 = 4^3.
So $ d(n) = n^3 $ for $ n = 1,2,3,4 $. Since $ d(t) $ is a cubic polyn...
d(t) = t^3.
But $ d(t) = t^3 $ is strictly convex and has no minimum (it decreases...
Wait — unless our initial assumption that $ d(t) = t^3 $ is forced is...

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