Question

Точка А лежит на отрезке DC, причем отрезок AD в 4 раза больше отрезка AC. Длина отрезка DC=25 см. Какой может быть длина отрезка AD?

Answer 1

Пусть AC(x)см, а AD(4x)cм.
$x + 4x = 25 \\ 5x = 25 \\ x = 5$
Значит AC 5см , a AD 4×5=20см

Answer 2

This is a geometry problem that requires some algebra and logic to solve. Here is how I would approach it:

- First, I would draw a diagram of the given situation, labeling the points and the lengths of the segments. I would also mark the ratio of AD to AC as 4:1, meaning that AD is four times as long as AC. - Second, I would use the fact that DC is the sum of AD and AC to write an equation: DC = AD + AC. Since I know the value of DC and the ratio of AD to AC, I can substitute them into the equation and get: 25 = 4x + x, where x is the length of AC. - Third, I would solve for x by simplifying and isolating it: 25 = 5x, x = 5. This means that AC is 5 cm long, and AD is 4 times that, so AD is 20 cm long. - Fourth, I would check my answer by plugging it back into the original equation: DC = AD + AC, 25 = 20 + 5, which is true. Therefore, the length of AD is 20 cm.

I hope this helps you understand how to solve this problem. If you want to see more examples of similar problems, you can check out these web pages: [Ответы к задачам по геометрии 7 класс 682 (Часть 1)](https://izi-otvet.ru/publ/poleznye_materialy/geometrija/otvety_k_zadacham_po_geometrii_7_klass_682_chast_1/25-1-0-7824), [Точка А лежит на отрезке DC, причем отрезок AD в 4 раза больше отрезка AC. Длина отрезка DC=25 см. Какой может быть длина отрезка AD?](https://online-otvet.ru/geometria/5ceaab9496f4e19a2970ae09), [ЕГЭ–2023: задания, ответы, решения - sdamgia](https://ege.sdamgia.ru/test?filter=all&category_id=276&ttest=true), [Точка А лежит на отрезке DC, при этом отрезок AD в 4](https://obrazovalka.com/qa/geometriya/5543071-tochka-a-lezhit-na-otrezke-dc-pri-jetom-otrezok-ad-v-4.html).