Предмет: Математика, автор: emilant

длина прямоугольника больше его ширины на 5 см . Найдите периметр прямогульника если отношения делин сторон равно 3:4

Ответы

Автор ответа: Azzaires

Пусть ширина прямоугольника х см, тогда его длина х + 5 см .
$frac{x}{x+5} = frac{3}{4}$
Из правила пропорций следует, что
3 (х + 5) = 4х
3х + 15 = 4х
4х - 3х = 15
х = 15
х + 5 = 20 (см)
Р = 2 * (15 + 20) = 70 (см)

Ответ: периметр прямоугольника 70 см .

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