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

Well in order to lose a pound you would have to burn 1,500 calories. the more calories you burn the more weight you lose. in order to lose 2 pounds you would have to run 4 hours and 28 minutes.