
площадь класса в 6 раз меньше площади спортивного зала.чему равна площадь класса, если она на 200м2
меньше площади спортивного зала? Помогите решить без иксов одним действием

Ответы на вопрос

⇒ площадь класса = 200:5 = 40м²






Problem Analysis
We are given that the area of a classroom is 6 times smaller than the area of a sports hall. We are also told that the area of the classroom is 200 square meters less than the area of the sports hall. We need to find the area of the classroom.Solution
Let's assume the area of the sports hall is x square meters. According to the given information, the area of the classroom is 6 times smaller than the area of the sports hall. This can be expressed as:Area of Classroom = (1/6) * Area of Sports Hall
We are also told that the area of the classroom is 200 square meters less than the area of the sports hall. This can be expressed as:
Area of Classroom = Area of Sports Hall - 200
Since both expressions represent the area of the classroom, we can equate them:
(1/6) * Area of Sports Hall = Area of Sports Hall - 200
To solve this equation, we can multiply both sides by 6 to eliminate the fraction:
Area of Sports Hall = 6 * (Area of Sports Hall - 200)
Now, we can simplify the equation:
Area of Sports Hall = 6 * Area of Sports Hall - 1200
Rearranging the equation, we get:
5 * Area of Sports Hall = 1200
Finally, we can solve for the area of the sports hall:
Area of Sports Hall = 1200 / 5 = 240 square meters
Therefore, the area of the classroom is:
Area of Classroom = (1/6) * Area of Sports Hall = (1/6) * 240 = 40 square meters
So, the area of the classroom is 40 square meters.
Answer
The area of the classroom is 40 square meters.

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