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Консультация № 190038
16.11.2016, 16:21
0.00 руб.
17.11.2016, 10:45
0
7
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Длину прямоугольника уменьшили на 10%, а ширину уменьшили на 30%. При этом периметр прямоугольника уменьшился на 18%. На сколько процентов уменьшится периметр прямоугольника, если его длину уменьшить на 30%, а ширину уменьшить на 10%?
Приложение:
Длину прямоугольника уменьшили на 10%, а ширину уменьшили на 30%. При этом периметр прямоугольника уменьшился на 18%. На сколько процентов уменьшится периметр прямоугольника, если его длину уменьшить на 30%, а ширину уменьшить на 10%?
Приложение:
Обсуждение
16.11.2016, 17:08
общий
это ответ
Здравствуйте, svrvsvrv!
Пусть
- длина, ширина и периметр прямоугольника до уменьшения его размеров. Тогда, в соответствии с условием задачи, получим систему уравнений
решая которую, получим
После уменьшения размеров стало
Во втором случае стало бы
периметр прямоугольника уменьшился бы на
Пусть
- длина, ширина и периметр прямоугольника до уменьшения его размеров. Тогда, в соответствии с условием задачи, получим систему уравненийрешая которую, получим
После уменьшения размеров стало
Во втором случае стало бы
периметр прямоугольника уменьшился бы на
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
17.11.2016, 00:25
общий
К сожалению, варианты ответов на эту задачу следующие:
а) 9;
б) 14;
в) 24;
г) 11
Я решала эту задачу немного другим способом, чем у Вас, но ответ получился такой же, как у Вас: 22%.
Может быть, ошибка в вариантах ответов?
а) 9;
б) 14;
в) 24;
г) 11
Я решала эту задачу немного другим способом, чем у Вас, но ответ получился такой же, как у Вас: 22%.
Может быть, ошибка в вариантах ответов?
17.11.2016, 07:10
общий
Адресаты:
Может быть, нужно применить второе уменьшение размеров не к исходному прямоугольнику, а к полученному после первого уменьшения размеров? Ошибка в вариантах ответов тоже возможна.
Об авторе:
Facta loquuntur.
Facta loquuntur.
17.11.2016, 10:25
общий
В результате второго уменьшения размеров не к исходному прямоугольнику, а к полученному после первого уменьшения размеров у меня получилось 23%. Всё равно нет такого варианта в вариантах ответов. Или я неправильно вычислила?
17.11.2016, 10:37
общий
Адресаты:
У меня тоже получилось, что если второе уменьшение размеров применить к прямоугольнику, полученному после первого уменьшения размеров, то 
Поэтому, скорее всего, допущена ошибка в вариантах ответов.
Поэтому, скорее всего, допущена ошибка в вариантах ответов.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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