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1 ft = 12 in

Using Pythagoras:

diagonal² = side² + side² = 2 × side²

→ side² = diagonal² ÷ 2

→ side = diagonal ÷ √2

perimeter = 4 × side

= 4 × diagonal ÷ √2

= diagonal × 2√2

= 3 ft 9 in × 2√2

= 3 × 12 + 9 in × 2√2

= 45 in × 2√2

≈ 63.6 in

= 5 × 12 + 3.4 in

= 5 ft 3.4 in

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