anonymoususer123
anonymoususer123 anonymoususer123
  • 13-06-2019
  • Mathematics
contestada

What is the area of the hexagon?

(See image attached below)

What is the area of the hexagon See image attached below class=

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 13-06-2019

Answer:

57.12cm²

Step-by-step explanation:

From the attached picture, you will notice that you can fill in the 4 corners of the hexagon with 4 triangles (i.e shaded areas) to form a rectangle.

Area of each shaded corner (triangle) = [tex]\frac{1}{2}[/tex] x 4 x 2.14 = 4.28 cm²

Area of 4 shaded corners = 4 x 4.28 = 17.12cm²

Area of rectangle = 9.28 x 8 = 74.24 cm²

Area of hexagon

= Area of rectangle - Area of 4 shaded corners

= 74.24 - 17.12

= 57.12cm²

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