Question

Judy wants to make a small patio in her garden. She plans to use pavers. The area of the patio is 2p2 + 30p + 108 square meters, and the area of each paver is p2 + 5p − 6 square meters. The number of pavers Judy will need is given by the expression

2(p+9)(p-1) (p+9)/(p-1)                                                                    2(p+9)/(p+6)                                                            



(p+9)/(p+6

Answer 1

In order to determine the number of pavers that Judy will need for the small patio in her garden, we divide the area of the patio by the area of the paver. That is,
number of pavers = (2p² + 30p + 108) / (p² + 5p - 6)
We then factor both the numerator and the denominator.
n = 2(p + 9)(p + 6) / (p + 6)(p - 1)
We cancel p + 6 in both the numerator and denominator to get an answer of,
2(p + 9) / (p - 1)