A square of an unknown side length x inches has one side

Last updated: 7/11/2022

A square of an unknown side length x inches has one side length increased by 4 inches and the other increased by 7 inches. (a) If the original square is shown below with side lengths marked as x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above. (b) Label each portion of the second diagram with their areas in terms of x (when applicable). State the product of (x+4) and (x+7) as a trinomial below. (c) If the original square had a side length of x=2 inches, then what is the area of the second rectangle? Show how you arrived at your answer. (d) Verify that the trinomial you found in part (b) has the same value as (c) for x = 2.