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A pentagon can be broken up into 5 equal sized triangels as pictured below. Knowing this, how do you think you can find the area of a pentagon? What do you think the area of this pentagon is?

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A pentagon can be broken up into 5 equal sized triangels as pictured below. Knowing-example-1
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User Rkenmi
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1 Answer

1 vote
The area of a pentagon can be found by dividing it into triangles, as you suggested, and then finding the sum of the areas of those triangles. To find the area of each triangle, you'll need the base and height. You can then use the formula:

Area = (base * height) / 2

Once you have the area of each triangle, you can add them up to get the total area of the pentagon. If the pentagon is regular, meaning it has equal sides and equal angles, you can use the formula for the area of a regular pentagon:

Area = (perimeter * apothem) / 2, where apothem is the perpendicular distance from the center of the pentagon to the midpoint of one of its sides
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User Jose Rivera
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