APPLICATIONS 3. 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.
x
(b) Label cach 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
(d) Verify that the trinomial you found in part (b)
has the same value as (c) for x = 2.
answer

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