What is the area of a regular hexagon with an apothem 16.5 inches long and a side 19 inches long? Round the answer to the nearest tenth. A. 625.3 in.2 B. 940.5 in.2 C. 156.3 in.2 D. 1,875.8 in.2

Answers

Answer 1

Answer:

The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)

Apothem:

Apothem is a perpendicular line from the center of the regular polygon to one of its sides.

Area of Regular polygon with apothem:

Area = 1/2 x (length of apothem) x (perimeter of hexagon)

• Given,

apothem = 16.5 inches and length of a side =19 inches

• Perimeter = 6 x (side of a hexagon)

= 6 x (19)

= 114 inches

• Hence,

Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)

Know more about Regular hexagon :

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Answer 2

Answer:

Answer: B. 940.5 square inches

==============================================

Explanation:

Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.

The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.

area of triangle = (1/2)*base*height

area of triangle = 0.5*(hexagon side length)*(apothem)

area of triangle = 0.5*19*16.5

area of triangle = 156.75

This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches

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Answers

Answer:

The answer is 8/9.

Step-by-step explanation:

Turn 2 1/2 in to 3/2 and turn 1 1/3 in to 4/3 then turn 3/2 int 2/3 and multiply 2/3 by 4/3 and you get 8/9.

Hope this helped. have a nice day!

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Answers

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Step-by-step explanation:

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'Hope this helps:)

Answer:

Step-by-step explanation:

instead of doing division for this to find the what, we multiply

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so 2*9=?(which is the what)

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Answers

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