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The area of the square is 18 cm2

The area of a square is:

area = side2

By Pythagoras:

side2 + side2 = diagonal2

⇒ 2 side2 = diagonal2

⇒ side2 = diagonal2 ÷ 2

⇒ area = diagonal2 ÷ 2

diagonal = 6cm, so:

area = (6 cm)2 ÷ 2

⇒ area = 18 cm2

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