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Snezhnost [94]
2 years ago
7

If the diagonal of a square is 12√2 cm . Find its area

Mathematics
1 answer:
Troyanec [42]2 years ago
3 0

Answer:

A = 144 cm²

Step-by-step explanation:

Let the side of the square be x. Using Pythagoras theorem for square,

x^2+x^2=(12\sqrt2)^2\\\\2x^2=288\\\\x=12\ cm

The area of the square is given by :

A = side²

Put values in the formula.

A = 12²

A = 144 cm²

So, the area of the square is equal 144 cm².

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