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Easy to remember: Area of Trapezoid Geometry

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In the topic of geometry, one of the simplest shapes that can be solved by using basic trapezoid and quadrant geometric shapes is called the trapezoid. This shape was first introduced in the Vitruvian Man’s work and is also found quite frequently in artworks made by European artists in the seventeenth and eighteenth centuries. A trapezoid has a similar cross-section as a right triangle and a similar angle as a trapezoid.

Types of Trapezoid

Many of the basic trapezoid shapes are based on a geometric form called the trapezoid. In trapezoid geometry, trapezoids are considered to be right angles that form a sharp angle at the top or bottom of a right-angled triangle. There is one major difference between trapezoids and right-angles however. 

In trapezoid geometry, the middle of the main shape, which is usually a right angle, contains more content and is thus less sharp than the sides of the trapezoid. For example, in a trapezoid-shaped square, all of the content that would fall off of the top if you took it away would go through the middle instead of just dropping off in a straight line.

Calculate Area of Trapezoid

One easy way to find the area of a trapezoid is to find the sum of the areas between the center of one trapezoid and the center of the next trapezoid. You do this by multiplying the two areas together. This gives you the area of each of the trapezoids. Since the size of each trapezoid is equal to the sum of its area, you can see that this is an easy way to find the area of trapezoids in 2D geometry.

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Area = (a+ b)/2 * h 

Where a and b are the 2 top and bottom base length and h is the height of the trapezoid, this the formula to calculate the area of trapezoid.

Another way to find the area of a trapezoid is to use the trapezoidal approximation. This is the calculation that gives the area between any two trapezoids, based on their surface measurements. You have probably heard of the ” mathematicians curse “, where a mathematical equation is written down, only to find out that it doesn’t make sense. That’s not the case here, because the trapezoid area equation is easily written down, as long as you choose the right trapezoids to be compared.

Trapezoid vs Rectangle

 

One of the most basic shapes in trapezoid geometry is also one of the most basic geometrical forms – the trapezoid. In trapezoid geometry, there is a similar type of sharp angle at the bottom which is what makes it a trapezoid, but unlike a trapezoid, the sides do not contain as much content. It is therefore common for squares and rectangles to be compared when it comes to trapezoids because a trapezoid can be made by taking the equal sides of the trapezoid and making them equal to each other, and then adding an extra angle at the top to make it a trapezoid. 

Trapezoid faces can be compared in other shapes, like squares and rectangles, because both of these shapes contain three different content areas, but the area of the trapezoid is more pronounced, and therefore more visually appealing than its rectangular counterpart. The trapezoid shape can be used very effectively when a surface has a sharp corner because the trapezoid will contain more content at that point. This means that the trapezoid can help make an area more visually appealing to its viewers, but it can also help reduce the number of sharp corners on a floor or other type of surface.

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Conclusion

If you were not able to understand why we use that formula and where it is derived from you can go to Cuemath to know more. Cuemath is the site to get online courses and lectures on subjects like Geometry and Physics as well as for primary school. Once you know how the formula works you will be able to solve any problem regarding trapezoid.

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