In quadrilateral ABCD angles ABC and ADC are 90 degrees, sides AB and BC are equal, and the distance

In quadrilateral ABCD angles ABC and ADC are 90 degrees, sides AB and BC are equal, and the distance from point B to side AD is 10. Find the area of this quadrilateral.

To complete this task, you need to find the area of ​​the figure;

Let’s consider this condition and analyze it;

By the terms of the assignment, we know that the two sides are equal AB = BC and the angles ABC = ADC = 90 °;

It is also known that the side AB = 10 cm;

Let’s analyze this construction;

Since two opposite angles are equal to ninety degrees, then the opposite sides are parallel, which means this figure is a rectangle.

Since the two adjacent sides are equal, the rectangle is a square;

It follows that all sides are equal and have a value of 10cm;

S = 102 = 100cm2.