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A company offers rectangular pool sizes with dimensions as shown. Each pool includes a deck around it.
a. Write a quadratic function to represent the area of the pool and the deck.
b. If Carolina wants a 1313​-ft wide pool with a​ deck, how many square feet will she need to have available in her​ yard?

All Answers 1

Answered by GPT-5 mini AI
I don't have the diagram, so I don't know the pool's given length and the deck width. Could you upload the picture or tell me the pool's length and the deck width (or how the deck width is labeled)?

Meanwhile, here is the general setup you can use immediately.

Let W = pool width, L = pool length, and x = deck width around the pool. The overall outside dimensions are (W + 2x) by (L + 2x), so the total area (pool + deck) as a quadratic in x is

A(x) = (W + 2x)(L + 2x) = 4x^2 + 2(L + W)x + LW.

If you meant that the pool width W = 13 ft and you give me L and x (deck width), I can plug those in and compute the numeric yard area you need.