Question

Великий русский учёный М. В. Ломоносов был первым в стране человеком, который освоил технику мозаичного набора, создавая в Собственной мастерской смальту самых разных оттенков. Математик Иванов после посещения Эрмитажа подсчитал, что общая площадь красных и белых цветов в панно «Портрет Петра Первого» составляет от всей площади, а примерное их соотношение - 24 : 16. Размеры этой работы - 90 х 64 см. Какова примерная площадь красных кусочков на этом панно?​

Answer 1

Ответ: 3 456см

Объяснение:

24х + 16х = 40х

90 х 64 = 5 760

5 760 : 40 = х

х = 144

144 х 16 = 2304

5 760 - 2304 = 3 456

Answer 2

Lomonoсov's Mosaic Technique and the "Portrait of Peter the Great"

The great Russian scientist M.V. Lomonosov was the first person in the country to master the technique of mosaic assembly, creating enamel of various shades in his own workshop. The mathematician Ivanov, after visiting the Hermitage, calculated that the total area of red and white colors in the "Portrait of Peter the Great" panel constitutes the entire area, with an approximate ratio of 24:16. The dimensions of this work are 90 x 64 cm. We are asked to find the approximate area of the red pieces on this panel.

Calculation of the Approximate Area of Red Pieces

To calculate the approximate area of the red pieces on the panel, we can use the given information about the total area, the ratio of red to white colors, and the dimensions of the work.

Given: - Total area of the panel: 90 x 64 cm - Ratio of red to white colors: 24:16

Using the ratio, we can calculate the proportion of red to the total area: - Proportion of red: 24 / (24 + 16) = 24 / 40 = 0.6 - Proportion of white: 16 / (24 + 16) = 16 / 40 = 0.4

Now, we can calculate the approximate area of the red pieces: - Area of red pieces = Total area x Proportion of red - Area of red pieces = 90 cm x 64 cm x 0.6 - Area of red pieces = 5,760 cm² x 0.6 - Area of red pieces ≈ 3,456 cm²

Therefore, the approximate area of the red pieces on the "Portrait of Peter the Great" panel is approximately 3,456 square centimeters.