HEEEEEEEEEEEEELLLLLLLLLP Math Happening

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 + 17𝑤 + 66, where 𝑤 represents the width of the pool.

Answer 1

Given the total area of the walkway and the pool is w^{2 +} 17w + 66 and the wiidth w, will be found as:

A= length x 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 is = 6 units and the length is 11 units