Part I: The dimensions of the pool are to be 25 yards by 9 yards. The deck will be
the same width on all sides of the pool. Including the deck, the total pool area has
a length of (x + 25) yards, and a width of (x + 9) yards.
a. Write an equation representing the total area of the pool and the pool deck. Use
y to represent the total area. Hint: The area of a rectangle is length times width.
(1 point)
b. Rewrite the area equation in standard form. Hint: Use the FOIL method. (1
point)
c. Rewrite the equation from Part b in vertex form by completing the square. Hint:
(9)*
as a perfect square trinomial, and finally, isolate y. (4 points: 1 point for each
step in the hint)
Move the constant to the other side, add
to each side, rewrite the right side