Question

Part A: The area of a square is (9x2 + 24x + 16) 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 (16x2 − 25y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answer 1

Part A

9x^2 + 24x + 16 = (3x + 4)(3x + 4)length of each side = 3x + 4 units.

Part B:

16x^2 - 25y^2= (4x + 5y )( 4x - 5y)

length = 4x + 5y and width = 4x - 5y