Density and Design Problems Answers

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1
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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.

A
Bethany’s design would give the larger garden because the area would be 3,500 ft2.
B
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
C
Bethany’s and Tyler’s designs would give a garden with the same area.
D
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.
2
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112.5225337.5✔ 450

A
112.5
B
225
C
337.5
D
✔ 450
3

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

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