Problem

Geometry The length and width of a rectangular garden are 15 meters and 10 meters, respect...

Geometry The length and width of a rectangular garden are 15 meters and 10 meters, respectively.

A walkway of width x surrounds the garden.

(a) Draw a diagram that gives a visual representation of the problem.


(b) Write the equation for the perimeter y of the walkway in terms of x.


(c) Use a graphing utility to graph the equation for the perimeter.


(d) Determine the slope of the graph in part (c). For each additional one−meter increase in the width of the walkway, determine the increase in its perimeter.

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