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Mademuasel [1]
1 year ago
9

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with le

ngth 14 centimeters and a perimeter of 96 centimeters. what is the approximate area of the hexagon?
Mathematics
1 answer:
taurus [48]1 year ago
7 0

<u>The approximate area of the </u><u>hexagon</u><u>  = </u><u>672 cm²</u>

What is hexagon ?

  • In geometry, hexagon is a polygon with 6 sides.
  • If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon.
  • In other words, sides of a regular hexagon are congruent.

apothem of the hexagon = 14 cm

perimeter of the hexagon = 96 cm

Area of the hexagon = [(3√3) / 2] a²     ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a

96 cm = 6a

96 cm / 6 = a

16 = a

There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2

A = (14 cm * 16 cm) / 2

A = 224 / 2

A = 112 cm²

The approximate area of the hexagon = 112 cm²  * 6 triangles = 672 cm²

Learn more about hexagon .

brainly.com/question/3295271

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The total distance, in miles, that kara walked at the park this week is 57/20.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that kara walks five days each week. this week she walked 7/8 mile on monday, 3/5 mile on tuesday, 4/10 on wednesday, 1/10 mile on thursday, and 9/10 mile on friday.

Now, in order to find the total distance, in miles, that kara walked at the park this week.

kara walked on Monday = 7/8

kara walked on Tuesday = 3/5

kara walked on wednesday = 4/10

kara walked on thursday=1/10

kara walked on friday= 9/10

Now, to get the total distance in miles by adding both the miles she walked this week:

7/8 + 3/5 +4/10 + 1/10 + 9/10

35/40 + 24 / 40 + 14/10

59/40 + 14/10

114/40

57/20

Therefore, the total distance, in miles, that kara walked at the park this week is 57/20.

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