Anyone want to help me out?
1 answer:
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The shortest length is given by the function for the perimeter of the
rectangular table.
- The shortest length of trim he could use is <u>536.66 cm</u>
The given parameter;
Area of the rectangular table Karma is building, <em>A</em> = <u>18,000 cm²</u>
Required:
The shortest length of trim he could use which he wants to put around the four edges.
Solution:
Let <em>l</em> represent the length of the table, and let <em>w</em> represent the width, therefore;
Perimeter of the table, <em>P</em> = 2·l + 2·w
Area, <em>A</em> = l × w
Which gives;
18,000 = l × w
Which gives;
At the minimum point, we have;
Which gives;
2·w² - 36,000 = w² × 0 = 0
2·w² = 36,000
The width of the rectangular table, <em>w</em> = √(18,000)
Therefore;
The perimeter of the table, P ≈ 2 × √(18,000) + 2 × √(18,000) ≈ 536.656
The length of trim required = The perimeter of the rectangular table, <em>P</em>
Therefore;
- The shortest length of the trim he could use, given to the nearest hundredth is <u>536.66 cm</u>
Learn more about area and perimeter of a figure here: