Question

side length. see examples 1 and

1. area $= 36x^2 + 120x + 100$

Explanation:

Step1: Identify perfect square terms

$36x^2=(6x)^2$, $100=10^2$

Step2: Verify middle term

$2\times6x\times10=120x$, matches the given middle term

Step3: Factor as perfect square trinomial

$a^2+2ab+b^2=(a+b)^2$, so substitute $a=6x$, $b=10$

Answer:

The side length of the square is $6x + 10$