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Marcia has a regular hexagonal patch on her backpack a diagram of the patch shows what is the area of the patch

Marcia has a regular hexagonal patch on her backpack a diagram of the patch shows-example-1

1 Answer

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Conisder that the given hexagnal patch can be considered as formed by six triangles with the same area.

THen, the area of the hexagonal patch is:

AT = 6*A

where A is the area of one triangle, given by:

A = b·h/2

where b is the base (b = 4 cm) and h th height (h = 3.5 cm):

A = (4 cm)(3.5 cm)/2 = 7 cm²

Then, the total area of the hexagonal patch is:

AT = 6*(7 cm²) = 42 cm²

User Vladko
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