Mathematics: Mrs. Harbrook can choose from two rectangular pool sizes. The pool manufacturer provides her with the area of the pool, but she needs to find the dimensions in order to determine if the pool will fit in her yard. If the area of the pool is x2−17x+72, what are possible expressions to represent the length L and the width W ?

Mrs. Harbrook can choose from two rectangular pool

Maria3737

29.04.2021

8 or 9 ft

Step-by-step explanation:

Given

The area of the pool is A=x^2-17x+72

The area is in the form of a quadratic equation

So, the roots of the equation will give the length and width of the pool

$\Rightarrow x^2-17x+72=0\\\Rightarrow x^2-8x-9x+72=0\\\Rightarrow x(x-8)-9(x-8)=\\\Rightarrow (x-8)(x-9)=0\\\Rightarrow x=8\ or\ 9$

Therefore length and width can either be $\text{8 or 9 ft}$ .

$\Rightarrow L=8\ ft,W=9\ ft\ \text{or}\ L=9\ ft,W=8\ ft$

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joshWash

30.03.2020

The answer is Commutative property of addition

Hope it helps!!!

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