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The polygon is a Quadrilateral.

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Q: If the midpoint of successive sides of a regular polygon are joined a smaller regular polygon is formed Find a polygon of such number of sides so that the area is half that of the larger?
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Related questions

What is the Practical application for finding the number of diagonals in a regular polygon?

The diagonals (drawn from a point) help in dividing the regular polygon into smaller triangles. The sum of the areas of these smaller triangles help in determining the total area of the polygon.


What is a true statement about a circle inscribed in a regular polygon?

The circle has a smaller area than the polygon.


Can a regular polygon with more than 6 sides ever tessellate?

No because as the polygon gets smaller the angles and sides get biggerso they can't tessellate by themselves.


How do you find the area of a irregular polygon?

To find the area, first divide the shape into regular, simple shapes. Then use formulas to find the area of the smaller, regular shapes. Lastly, add up all the smaller areas to find the area of the original shape.


What to regular polygons has a larger exterior angle?

An equilateral triangle is the only polygon in which the exterior angle is larger than the interior angle. They are equal in a square and smaller in all regular polygons with more sides,


If each angle is 40 degrees how many sides does a polygon have?

A regular polygon cannot have internal angles smaller than 60 degrees. If each EXTERNAL angle is 40 degrees, the triangle has 360/40 = 9 sides.


What is the area of a larger polygon with a ratio of 8 7 with a smaller polygon when the area of the smaller polygon is 512 square meters?

It depends on whether the ratio applies to the areas or to the lengths of the sides.


How do you draw a regular polygon having all angle equal 47?

The measure of the interior angle of a regular polygon is: theta = (n - 2) * 180 / n. So for our case, we have: 47 = (n - 2) * 180 / n. 47n = 180n - 360 -133n = -360 n = 360/133 As 360/133 is not an integer, we conclude that there is no regular polygon with interior angle 47. OR, if you prefer to learn graphically, consider that a triangle is the polygon with the fewest number of sides. As you increase the number of sides of a regular polygon, you increase the interior angle. Thus since the interior angle of a regular triangle is 60 degrees. Thus, in order to get an angle smaller than 60 degrees, we would need to have fewer sides than a triangle - which isn't possible.


Is a 15 percent discount the same as 3 successive 5 percent discounts?

No, because successive discounts are taken on the discounted price after the first of the successive discounts. Therefore, 3 successive 5 % discounts will total to a smaller discount than one 15 % discount.


Is a star a convex polygon?

No. In a convex polygon, all the internal angles are smaller than 180 degrees.


Do The interior angles of both a regular and irregular pentagon have a sum of 1080 degrees?

Yes. In the regular polygon, the angles are all equal parts of the 1,080 . In the irregular one, there are bigger and smaller interior angles, but they still add up to the same total.


What is the answer to a side of the larger polygon is 5 times as long as the corresponding side of the smaller polygon What is the ratio of the area of the larger polygon to the area of t?

5mx10m