A flat square of side s0 at temperature T0 expands by s in both length and width

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A flat square of side s0 at temperature T0 expands by Δs in both length and width when the temperature increases by ΔT. The original area is s20  and the final area is (s0 + Δs)2 = A. Show that if Δs ≪ s0,

(Although we derive this relation for a square plate, it applies to a flat area of any shape.)

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