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Geogebra classic area polygon4/17/2023 In other words, use the formula area = (base1 + base2) x h x ½. If your shape is a trapezoid, add together the lengths of the two parallel sides, then multiply the sum by the height of the trapezoid. Since the length and width are the same for a square, simply square the length of one of the sides to calculate the area. For a rectangle, all you need to do is multiply length times width. For instance, to calculate the area of a triangle, use the formula ½ x base x height. Some types of polygons have their own special formulas that you can use to find the area. Multiply 42 x 3 x ½ to get an area of 63 square units. Multiply 7 by 6 (the number of sides in the hexagon) to find the perimeter of 42 units. For example, say you have a hexagon with an apothem that has a length of 3 units, and each side has a length of 7 units. You can find the perimeter by adding together the lengths of all the sides, or multiplying the length of a side by the number of sides. If you know the apothem and the side length, simply use the formula area = ½ x perimeter x apothem. The apothem is the distance from the exact center of the polygon to the center of any of the sides. If a polygon is regular-that is, all of its sides are the same length-you can easily find the area given the side length and the apothem. There are six of these sides to the hexagon, so multiply 20 x 6 to get 120, the perimeter of the hexagon.Ī polygon is any kind of closed, 2-dimensional shape with at least 3 straight sides and no curves. The bottom side of the triangle is 20 units long. You know that x = half the length of the bottom side of the triangle.If 10√3 represents "x√3," then you can see that x = 10. You know that the side across from the 60 degree angle has length = x√3, the side across from the 30 degree angle has length = x, and the side across from the 90 degree angle has length = 2x.The apothem cuts one of them in half, creating a triangle with 30-60-90 degree angles. You can think of it this way because the hexagon is made up of six equilateral triangles. Think of the apothem as being the "x√3" side of a 30-60-90 triangle.If the apothem is provided for you and you know that you're working with a regular polygon, then you can use it to find the perimeter. If the perimeter is provided for you, then you're nearly done, but it's likely that you have a bit more work to do.
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