Part A: the area of a square is (9a^2 - 24a +16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work

Length of each side of the square=3a-4

Step-by-step explanation:

Given

Area of a square is =(9a^2 - 24a +16)

Factorising

(3a)^2 - {3*4(2a)} + 4^2

(3a-4)^2

Area of a square =length^2

(3a-4)^2 =length^2

Square root both sides

√(3a-4)^2 = √length^2

3a-4=length

Length of each side of the square=3a-4

Check:

(3a-4)^2

=(3a-4)(3a-4)

=9a^2-12a-12a+16

=9a^2 - 24a + 16