A square tile has a piece broken off it with 7cm².If the area of the remaining rule is 137cm²,what were the dimensions of the original tile?

12 cm × 12 cm.

Step-by-step explanation:

It is given that a square tile has a piece broken off it with 7 cm². The area of the remaining rule is 137 cm².

Total area of square = 7 + 137 = 144 cm²    ...(1)

Area of a square is

    ...(2)

where, a is side length of square.

From (1) and (2), we get

Taking square root on both sides.

Therefore, the dimensions of the original tile are 12 cm × 12 cm.

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