Hexagon happens to be a space which is enclosed from all sides. It is known to possess six sides and six angles. Let us understand about area of a hexagon in details before we proceed ahead. It is a region that lies within the sides of a hexagon. Basically it is a two dimensional figure where there are 9 diagonals where the sum of the interior angles is 720 degrees. It is possible to arrive at the area of a hexagon by various methods as their expression would take place in square units. There is a process to follow when it comes to calculating the area of a hexagon
- Step 1- first you need to identify the side of the length of a regular hexagon
- Step 2- with the formula you may arrive at the formula. The area of the length of a regular polygon would be around 6 inches.
You can arrive at the area of a regular hexagon when you have the side length and the apothem is known. Coming to apothem it is a line segment, which would be drawn from the centre of a hexagon and would be perpendicular to the side of a hexagon.
Keeping aside hexagon let us focus on trapezoid. You arrive at the area of a trapezoid based on the number of unit squares that can fit would be measured in square units. A trapezoid works out to be a type of quadrilateral where there is one of the parallel sides that would be known as bases. What it means is that the other pair of sides would be non- parallel. It may not always be possible to draw unit squares and the area of trapezoid can be found out easily.
The mechanisms by which you may derive area of a trapezoid formula
The formula can be used to arrive at the area of a trapezoid in a couple of ways
- There is a proof by using a parallelogram
- There is a proof by using a triangle
It is always better to arrive at the area of a trapezoid by using area of a triangle formula. Mostly the trapezoid is being arranged as a triangle. Both the areas of a trapezoid and triangle turn out to be the same. Even the base of the triangle is a+ b with the height of the triangle is h.
The area of a trapezoid= area of a triangle
Hence it is possible to arrive at the area of a trapezoid based on above formula. If the length of the sides of an isosceles trapezoid is given, it is possible to divide them into a couple of concurrent triangles and a right triangle. It is possible to arrive at the area of each of these shapes and then when you add them it would give an idea about the area of a given trapezoid.
If you come across the vertices of a trapezoid, with the distance formula and if you have a and b the task becomes easy. So as to locate the height h, it is beneficial to be using the perpendicular distance between the bases to the point of a formula for the same.
If you have any doubts about hexagon or trapezoid and looking to educate yourself more on the topic it is better to hop on to educational websites like Cuemath. They are the best in the business when it comes to address your queries. Just log on to the website as they have experts who will guide you t each and every step of your education journey.
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