Предмет: Геометрия, автор: muha36741

Как изменится площадь пря- моугольника, если одну его сторону увеличить в 2 раза, а другую - в 4 раза? -- Вариант Б1 1​

Ответы

Автор ответа: dkhomenko7b
0

Ответ:

Пусть а - ширина изначального прямоугольника, b - его длина. Тогда площадь такого прямоугольника рассчитаем по формуле: S1 = ab.

Теперь увеличим ширину прямоугольника в 2 раза, получаем 2а. Его длину увеличим в 4 раза, получим 4b. Таким образом, площадь нового прямоугольника будет: S2 = 2a * 4b = 8ab.

Чтобы узнать во сколько раз увеличилась площадь прямоугольника после увеличения его длины и ширины, разделим большую площадь на меньшую:

S1/S2 = 8ab/ab = 8.

Ответ: площадь прямоугольника увеличилась в 8 раз.

Объяснение:

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