Question

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?​

Answer 1

12 cm × 12 cm.

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

`Area=a^2` ...(2)

where, a is side length of square.

From (1) and (2), we get

`a^2=144`

Taking square root on both sides.

`a=√(144)`

`a=12\ cm`

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