Question

It is true that 1 foot = 12 inches. explain why it is not true that 1 square foot = 12 square inches.

Answer 1

we know that

`1 foot=12inch`

Since, we have to find 1 foot^2

so, we will take square both sides

`(1 foot)^2=(12inch)^2`

`(1)^2 foot^2=(12)^2inch^2`

`1 foot^2=144 inch^2`

so, we can see that it is not equal to 12 inch^2

that's why
`1 foot^2=12 inch^2` is not true