A square tile has a diagonal of size 32 cm. the area of the tile is

Given that, a tile is in the shape of a square.

Given that, the diagonal of a square tile is 32 cm.

The area of a square when diagonal is given = ½ d2 square units.

Now, substitute d = 32 in the formula, we get

A = (½)(32)2 square units

A = (½)(32)(32)

A = 16 × 32

A = 512 cm2

Therefore, the area of a square tile is 512 cm2.

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