Part a: the area of a square is (9a2 − 24a + 16) square units. determine the length of each side of the square by factoring the area expression completely. show your work. (5 points) part b: the area of a rectangle is (25a2 − 36b2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work. (5 points)

The area of a square with side x is    .

part a

the area of the square given in part a is  ,

which can be written as 

let a side of the square in part a be x, then :



x=3a-4,     where 3a-4> 0, that is a> 4/3

part b

, by the difference of squares formula.

so, the dimensions of the rectangle are (5a-6b) by (5a+6b)


answers:

a)3a-4,     where a> 4/3

b)(5a-6b) by (5a+6b)

part a:

9a^2 − 24a + 16

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

part b:

(5a + 6b) (5a - 6b)

The answer is