Density and Design Problems Answers

Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.

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✔ the rectangular containers, because it will cost the company $67 more to use the cylindrical containersthe cylindrical containers, because it will cost the company $67 more to use the rectangular containersthe rectangular containers, because it will cost the company $48 more to use the cylindrical containersthe cylindrical containers, because it will cost the company $48 more to use the rectangular containers

A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs the company $16, while the cylindrical container costs the company $15. If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain.