AmaiyahHarrison6477 AmaiyahHarrison6477
  • 11-04-2020
  • Mathematics
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1 inch = 2.54 centimeters The radius of the hexagon is 30 cm What is the approximate area to be covered by the window in square feet ?Round answers to the nearest 10th of a square foot

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sqdancefan
sqdancefan sqdancefan
  • 11-04-2020

Answer:

  2.5 square feet

Step-by-step explanation:

The area (A) of a regular hexagon in terms of its side length (s) is ...

  A = (3/2)(√3)s²

The side length in feet is ...

  (30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft

Then the area in square feet is ...

  A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²

The approximate area of the hexagon is 2.5 square feet.

_____

Comment on the question

There is nothing in this problem statement that relates the hexagon to the window area.

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