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)

Since the area of the square is the square of its side then, the given equation 4x² -12x + 9 is a square of a binomial. the factors are,                                    4x² - 12x + 9 = (2x + 3)²the side of the square is 2x + 3.the area of the rectangle is length times width, two different measurements. the expression, 16x² - 9y² is the difference of two squares. the factors are,                                        16x² - 9y² = (4x + 3y)(4x - 3y)thus, the measures of the sides of the rectangle are 4x+3y and 4x-3y

Here’s the answer. you’re supposed to use 2900 times the interest rate and then add your original amount of money. now you get 2997.15