What is the area of the regular hexagon ABCEF? Explain your reasoning.
1 answer:
Answer:
1350 units²
Step-by-step explanation:
The regular hexagon consists of 6 equiangular triangles
The area (A) of a equilateral triangle is calculated as
A = ( s is the side length )
Here s = 30 , then
A = =
= 225
units²
Thus the area of the regular hexagon is
area = 6 × 225
= 1350 units² ← exact value
≈ 2338.3 units² ( to 1 dec. place )
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The thing that all these polygons have in common is B. Each appears to have one pair of parallel sides.
<h3>What is a polygon?</h3>A polygon is a plane figure characterized by a finite number of straight line segments joined to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both. A polygonal circuit's segments are known as its edges or sides.
A polygon is a two-dimensional closed object with straight sides that is flat or plane. It doesn't have any curved edges. The vertices are the spots where two sides intersect.
A geometric figure has parallel sides if the distance between them does not change and the sides do not meet or cross. Parallel sides of a shape are opposing, or across from each other, and would not intersect if extended infinitely beyond the shape's boundaries.
Parallelogram, rectangles, squares, trapezoids, hexagon, and octagon are examples of shapes with parallel sides.
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