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

Each side of the square = (4a - 3)

The dimensions of the rectangle are  (3a -5b) and (3a + 5b).

Step-by-step explanation:

Part - A

The area of the square is  

By ALGEBRAIC IDENTITY:

⇒

⇒ the Area of the square is

Also, AREA OF THE SQUARE =  

Hence, on comparing the two, side of the square = (4a - 2)

Part - B

The area of the rectangle is  

By ALGEBRAIC IDENTITY:

⇒

⇒ the Area of the rectangle is (3a -5b)(3a + 5b)

Also, AREA OF THE Rectangle  =  Length x Width

Hence, on comparing the two,

The dimensions of the rectangle are  (3a -5b) and (3a + 5b).

the answer

b. they are parallel and will never intersect.

step-by-step explanation:

b and c