Question

The area of a square is 4k^2 + 12k + 9. What is the perimeter of it?

Answer 1

Its perimeter is `8k+12`

Explanation:

`4k^2+12k+9`

= `(2k)^2+2xx2kxx3+(3)^2`

= `(2k+3)^2`

Hence as area of square is `4k^2+12k+9=(2k+3)^2`,

its each side is `2k+3` and

Its perimeter is `(2k+3)xx4=8k+12`