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 + 17w + 66

Question

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Mathematics

3 June, 23:28

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 + 17w + 66

+1

Answers (1)

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Higgins · Answer 1

Given that the total area of the walkway and the pool is w²+17w+66, and the width w, will be found as follows:

A=length*width

A=w²+17w+66

to get the new width we need to factorize the above quadratic form

A=w²+17w+66

=w²+11w+6w+66

=w (w+11) + 6 (w+11)

= (w+11) (w+6)

From the answer, the width=6 units, length=11 units

Mr. Smith is unhappy with the 2 foot concrete walkway around the edge of the pool. He decides toput a different width around the pool. The total area of the pool and the walkway is given by thepolynomial w^2 + 17w + 66

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 + 17w + 66