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).

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?