Предмет: Математика, автор: tomirisnumagambetova

Площадь прямоугольника, одна из сторон которого на 5 см больше другой, равна 24 м^2. Найдите СТОРОНЫ и ПЕРИМЕТР прямоугольника.
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Ответы

Автор ответа: Safiya7406

1

Ответ:

пусть меньшая сторона будет - х

а большая - х + 5

тогда: х(х + 5) = 24²

х² + 5х = 24²

х² + 5х - 24 = 0

D = 5²- 4×36 = 25 + 96 = 121 = 11²

х = -5 + 11/2 = 3 м (первая сторона)

х2 = 3 + 5 = 8 м (вторая сторона)

Р = 3 + 8 + 3 + 8 = 22 м

проверяем: 3 × 8 = 24м²

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