This geometric figure - a rectangular trapezoid - has not only great mathematical, but also physical distribution. After all, everything that is given in the school curriculum has related applications. So, for example, knowing what the area of a rectangular trapezoid is equal to, one can easily find the path of the body with uniformly accelerated movement. How to do it? Now consider.
The area of a certain type of figures is calculated differently. In our case, it is necessary to know the sum of two bases and the height. The latter is one of the sides lying at right angles. Total, the desired result is calculated as follows:
S = (a + b) * h / 2
Of course, this dependence is not taken from the ceiling. It is possible that someone knows about the midline, which contains both a regular and a rectangular trapezoid. If it is denoted by the letter m, then the value can be found as follows: m = (a + b) / 2. Mentally move this segment down. It will be something like the length of a known rectangle. It is on the reduction to this simplest figure that the first reduced dependence is built. In general, the square trapezoid area formula suggests the possibility of replacing h (height) by the length of the side at an angle of 90 degrees. Some should immediately understand that this is justified by the equality between these quantities.
In the beginning, we already mentioned the possibility of applying the values of a figure in physics. In particular, students should be well aware of the principle of uniformly accelerated movement. A rectangular trapezoid is the case when the initial velocity is zero, the acceleration is constant. If the task set requires you to calculate the path traveled in such a situation, then you can use the formula to find the area. Let the variable "a" denote all the time of the journey. It’s worth saying right away that we work in a Cartesian coordinate system. Then "b" will denote the time during which there was a maximum speed. Accordingly, if until the end of the movement it remained uniformly accelerated, then b = 0. For h we take the value of the steady-state speed. After substituting the values, you will get the path, since it can be calculated using the formula S = V average * t. Now you know how a rectangular trapezoid can help you.
To solve problems, you should know only a few formulas for the figure in question. For example, the sum of the angles on the sloping side is 180 degrees. The diagonal relative to one of the sides is the hypotenuse of a right triangle with known legs. Remember that not in any quadrangle, especially in a rectangular trapezoid, you can enter a circle. Many definitions are given in the school course, but the most important thing is to be learned from them. For example, the fact that a rectangular trapezoid has all the usual properties, but also has some additional features. Suppose that the base is four, the side is three, and the diagonal connecting them is 5. By the Pythagorean theorem, 3 * 3 + 4 * 4 = 5 * 5. It follows from this that we have a rectangular trapezoid.
Thus, you met with another geometric figure. It is not necessary to memorize the formula for finding its area; it is enough to understand the principle of calculation.