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Find the area of the regular polygon

Find the area of the regular polygon-example-1
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User Rigotre
by
8.6k points

1 Answer

1 vote

Answer:

544 units²

Explanation:

What you can see, hopefully, is that there is a clue given in the picture;

The polygon is divided into 8 triangles which will all be the same since the polygon is regular, meaning all the sides are the same length;

This means all the triangles will be the same area;

Since, we know how to find the area of a triangle and that there are 8 of these, we can find the entire area of the polygon:

P = area of polygon

T = area of a triangle

b = base

h = perpendicular height

T = ¹/₂ × b × h

T = ¹/₂ × 8 × 17

T = 4 × 17

T = 68

P = 8 × T

P = 8 × 68

P = 544

answered
User NLL
by
8.9k points

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