Location: PhysicsTask: Yuri, a student at a cadet boarding school, is a sensitive boy. Once he received a C in his

Location: PhysicsTask: Yuri, a student at a cadet boarding school, is a sensitive boy. Once he received a C in his favorite subject (history) and was very upset. When he returned to the barracks, he couldnt think of anything else but this unfortunate grade. Unfortunately, a meeting of the students was organized. During this meeting, Yuri sat and absentmindedly folded and unfolded a piece of paper, while thinking about the unpleasant incident. What are you doing? Why

Ответ:

C grade in history. Suddenly, Yuri notices that the paper he was folding has turned into a small rectangle, with one long side being twice as long as the other side. He starts wondering — what is the area of this rectangle?

To find the area of a rectangle, we need to know the lengths of its sides. Let’s assume the short side of the rectangle is «x» units long. Since the long side is twice as long, we can say it is 2x units.

The formula for finding the area of a rectangle is «length × width». In this case, the length is 2x units and the width is x units. So the area (A) can be calculated as:

A = length × width
A = (2x) × x
A = 2x²

So, the area of this rectangle is expressed as 2x² square units.

Let’s say, for example, the short side of the rectangle (x) is 5 units. To find the area, we substitute this value into the formula:

A = 2x²
A = 2(5)²
A = 2(25)
A = 50

So, when the short side of the rectangle is 5 units, the area would be 50 square units.

In conclusion, the area of the rectangle that Yuri created by folding the paper is 2x² square units, where «x» denotes the length of the short side.