Will mark ! part a: the area of a square is (16x2 + 24x + 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 (4x2 − 49y2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work. (5 points)

we know it's a perfect square so the first term has to be 4x and the second 3. let's check:

so the length of each side is

part b

that's the difference of two squares:

at this point we're supposed to say the rectangle's dimensions are

2x-7y by 2x+7y

but that's horse hockey. the rectangle dimensions are l, any positive number, and

but i'm almost certain they're expecting the wrong answer:

2x-7y by 2x+7y

b) well because you get well