Question: A rectangular pool 6 meters by 8 meters is to be surrounded by a walkway of width x meters. This problem has to do

A rectangular pool 6 meters by 8 meters is to be surrounded

A rectangular pool 6 meters by 8 meters is to be surrounded by a walkway of width x meters. This problem has to do with the rectangular region taken up by the pool and walkway. (a) White the length and width of the region as expressions of x. (b) Write the area of the region as a function of x. (c) What is the area of the full rectangular region when x = 3? (d) Write this function in vertex form. (e) Sketch the graph in a reasonable domain. (f) Find the value of x which makes the walkway have an area equal to the area of the pond.

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