Question

Mr.smith is unhappy with the 2 foot concrete walkway around the edge of the pool. He decides to put a different width around the pool. The total area of the pool and the walkway is given by the polynomial w^2+17+66, where w represents the width of the pool.

Answer 1

We have the following:

In this case what we have to do is factor the polynomial that we have

$w^2+17w+66$

we factor as follows

$\begin{gathered} w^2+6w+11w+66 \\ w(w+6)+11(w+6) \\ (w+6)\cdot(w+11) \end{gathered}$

From the answer the width is = 6 units and the length is 11 units