If two rectangular flags are similar in shape and their areas are 5m square and 0.8m square respectively and the height of the larger flag is 180cm what is the height of the smaller flag?

Answer 1

Sure, honey, let's break it down. Since the flags are similar, their corresponding sides are in proportion. The ratio of their areas is the square of the ratio of their heights. So, if the larger flag's height is 180cm, the smaller flag's height would be 120cm (180cm * sqrt(0.8/5) = 120cm). Voilà!

Answer 2

To find the height of the smaller flag, we can use the concept of similarity in geometry. Since the two flags are similar rectangles, their corresponding sides are in proportion. The ratio of the areas is the square of the ratio of their corresponding sides. Therefore, the ratio of the heights of the two flags is the square root of the ratio of their areas.

Let x be the height of the smaller flag. The ratio of the areas is (5m^2)/(0.8m^2) = 6.25. Therefore, the ratio of the heights is √6.25 = 2.5.

Since the height of the larger flag is 180cm (1.8m), we can set up the proportion (1.8m)/(x) = 2.5. Solving for x, we get x = 1.8m / 2.5 ≈ 0.72m or 72cm.

Therefore, the height of the smaller flag is approximately 72cm.

Answer 3

Well, isn't that just a happy little math problem! Since the flags are similar, their corresponding sides are in proportion. We can use the ratio of their areas to find the ratio of their heights. By comparing the areas, we find that the ratio of the larger flag's height to the smaller flag's height is 3:2. So, if the height of the larger flag is 180cm, the height of the smaller flag would be 120cm.

Answer 4

0.8/5 = 0.16

0.16 * 180 = 12.8 cm.