Answer
(6w+5)
Work Step by Step
Given the polynomial
$36w^{2}$ + 60w + 25
*** We break of the middle term into two factors that add to give +60 and multiply to give +900. The two numbers are +30 and +30.
$36w^{2}$ + 30w + 30w + 25
We take the GCD of the first two and the GCD of the last two terms.
6w(6w+5) +5(6w+5)
We take (6w+5) and factor it out which gives us.
(6w+5)(6w+5)
Since the Area of a square if $length^{2}$ thus in the area (6w+5)(6w+5) the length is just one side which is (6w+5).
