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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as little material as possible. Which dimensions will give Chloe the smallest perimeter?
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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as little material as possible.

Which dimensions will give Chloe the smallest perimeter?
Answer please

User Felix Benning
by
5.9k points

1 Answer

2 votes

Answer:

6 units by 6 units

Explanation:

The quadrilateral with the smallest perimeter for a given area is the square.

The square with area 36 square units has side lengths of √36 = 6 units.

User Ryan Metin
by
6.3k points
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