Question

Периметр прямокутника дорівнює 35 см, а його довжина на 0,5 см більша від ширини. Знайти сторони прямокутника. Яка із систем рівнянь відповідає правильному розв'язанню задачі, якщо через р см позначили довжину прямокутника, а через r см — його ширину?1) {r-p=0,5; 2•(p+r) = 352) {2•p•r=0,5; (p+r) = 35{p•r=0,5; (p+r) = 353) {p+r=0,5; 2•(p+r)= 354) {p-r=0,5; 2•(p+r)=35СРОЧНО​ Смотреть ответ prettypushkova prettypushkova {p - r = 0,5{2 · (p + r) = 35- - - - - - - - - - - -{р = 0,5 + r{2 · (0,5 + r + r) = 352r + 0,5 = 35 : 22r + 0,5 = 17,52r = 17,5 - 0,52r = 17r = 17 : 2r = 8,5 (см) - ширинар = 0,5 + 8,5 = 9 (см) - длинаОтвет: 4). Новые вопросы в Математика ДАМ 45 БАЛЛОВ СРОЧНО.Сторона трикутника дорівнює 10 см, а радіус описаного навколо нього кола - також 10 см. Чому дорівнює кут трикутника, протилежний … даній стороні?​ Периметр прямоугольного треугольника равен 24 см, а сумма квадратов его сторон равна 200 см². Найти все стороны. ДАМ 50 БАЛОВ СРОЧНО.Дві сторони трикутника відносяться як 7:8, а кут між ними становить 120⁰. Знайдіть сторони трикутника, якщо його периметр дорівнює … 84 см. ​ срочно, 2 задание Дан график функции а) записать область определения б) найти множество значения функции с) определите максимальное значение функц … ии д) определить четность функции 4. Скільки можна провести різних площин через будь-які чотири точки?(обгрунтуйте)​ Предыдущий Следующий Вместе мы знаем больше КОМПАНИЯ Блог Карьера Условия пользования Авторское право Политика конфиденциальности Предпочтения cookie-файлов СООБЩЕСТВО Сообщество Brainly Brainly для школ и учителей Сообщество родителей Кодекс чести Правила сообщества Brainly Insights Стань помощником ПОМОЩЬ Зарегистрируйся Центр помощи Центр безопасности Договор о конфиденциальности полученной информации Установи приложение Brainly Скачай iOS-приложение Скачай для Android Школьные Знания.com PL: Brainly.pl ES: Brainly.lat PT: Brainly.com.br FR: Nosdevoirs.fr TR: Eodev.com RO: Brainly.ro ID: Brainly.co.id HI: Brainly.in PH: Brainly.ph US: Brainly.com (function() { window.process = window.process || {}; window.process.env = { NEXT_PUBLIC_PAYMENTS_ENDPOINT: "https://znanija.com/graphql/ru", NEXT_PUBLIC_HEADER_TOKEN_LONG: 'X-B-Token-Long', NEXT_PUBLIC_COOKIE_TOKEN_LONG: 'Zadanepl_cookie[Token][Long]', 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Answer 1

The problem states that the perimeter of a rectangle is 35 cm, and its length is 0.5 cm more than its width. We need to find the sides of the rectangle and determine which system of equations corresponds to the correct solution to the problem.

The perimeter of a rectangle is given by the formula `2 * (length + width)`. Given that the perimeter is 35 cm, we can substitute this into the formula to get `2 * (length + width) = 35`.

The length of the rectangle is given as 0.5 cm more than the width. This can be represented as `length = width + 0.5`.

We can substitute `length` from the second equation into the first equation: `2 * (width + 0.5 + width) = 35`.

Solving this equation gives us `width = 8.5 cm`.

Substituting `width = 8.5 cm` into the second equation gives us `length = 8.5 cm + 0.5 = 9 cm`.

So, the sides of the rectangle are 8.5 cm and 9 cm.

As for the system of equations, the correct one is `{p - r = 0.5; 2 * (p + r) = 35}`. This system of equations corresponds to the correct solution because it takes into account both the length and width of the rectangle, and the fact that the length is 0.5 cm more than the width.