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١٥",[307,310,313,316],{"_8":308,"_54":309},158349,"١٥",{"_8":311,"_54":312},158350,"٣٠",{"_8":314,"_54":315},158351,"٤٥",{"_8":317,"_54":318},158352,"٦٠",[],{"_142":321},[144,145],{"_8":323,"_52":53,"_54":324,"_12":325,"_10":326,"_60":61,"_124":-5,"_62":9,"_92":9,"_63":-5,"_64":-5,"_65":19,"_66":19,"_67":-5,"_68":327,"_98":340,"_100":41,"_139":41,"_140":341,"_73":345},40343,"ما نسبة مساحة المثلث المظلل إلى مساحة المستطيل \n11efe393_d8d8_822e_82e8_9fdbe6d0300d_00","40343-%D9%85%D8%A7-%D9%86%D8%B3%D8%A8%D8%A9-%D9%85%D8%B3%D8%A7%D8%AD%D8%A9-%D8%A7%D9%84%D9%85%D8%AB%D9%84%D8%AB-%D8%A7%D9%84%D9%85%D8%B8%D9%84%D9%84-%D8%A5%D9%84%D9%89-%D9%85%D8%B3%D8%A7%D8%AD%D8%A9-%D8%A7%D9%84%D9%85%D8%B3%D8%AA%D8%B7%D9%8A%D9%84-%7B%DB%B3%7D%7D-%7B%D9%A4%7D%7D-%7B%D9%A6%7D%7D-%7B%DB%B1%DB%B2","ما نسبة مساحة المثلث المظلل إلى مساحة المستطيل أ- ۱ ٦ /ب- ۱ ٤ /ج- ۱ ۳ /د- % ۱ ۱۲",[328,331,334,337],{"_8":329,"_54":330},158333,"\\rtl{\\frac{\\;۱\\;}{\\;۱۲\\;}}",{"_8":332,"_54":333},158334,"\\rtl{\\frac{\\;۱\\;}{\\;٦\\;}}",{"_8":335,"_54":336},158335,"\\rtl{\\frac{\\;۱\\;}{\\;٤\\;}}",{"_8":338,"_54":339},158336,"\\rtl{\\frac{\\;۱\\;}{\\;۳\\;}}",[],{"_142":342},[187,343,188,344,190],9,931,"ما نسبة مساحة المثلث المظلل إلى مساحة المستطيل $\"\"$ ","detailedAnswer",[348,353,360,362],{"_8":71,"_54":72,"_349":41,"_350":351,"_352":-5},"is_correct","question_option_details",[],"has_access",{"_8":76,"_54":77,"_349":19,"_350":354,"_352":-5},[355],{"_8":356,"_54":357,"_358":-5,"_359":-5},40987,"بالبداية\n محيط المستطيل = ٢ × ( الطول + العرض ) \nنقوم بقسمة الطرفين على ٢ \n\\rtl{\\frac{\\text{ محيط المستطيل}}{\\;٢\\;}\\;\\;=\\;(\\text{ الطول}\\;+\\;ا\\text{لعرض}\\;)\\;} \nاولا نجد قيمة المحيط \n حول العدد المركّب إلى كسر غير بسيط\n\\rtl{\\;\\;٩١\\;\\frac{\\;١\\;}{\\;٦\\;}\\;\\;\\;\\;\\;=\\;\\frac{\\;٩١\\;\\times\\;٦\\;+\\;١\\;}{\\;\\;٦\\;}\\;\\frac{\\;٥٤٧\\;}{\\;٦\\;}}\nقسّم على ٢ (أي اضرب في \\rtl{\\;\\frac{\\;١\\;}{\\;\\;٢\\;}} ) \n\\rtl{\\;\\frac{\\;٥٤٧\\;}{\\;٦\\;}\\;\\div\\;٢\\;=\\;\\frac{\\;٥٤٧\\;}{\\;٦\\;}\\;\\times\\;\\frac{\\;١\\;}{\\;٢\\;}\\;\\frac{\\;٥٤٧\\;}{\\;١٢\\;}} \nحوّل الكسر غير البسيط إلى عدد مركّب \nاي ان \\rtl{\\;\\;\\frac{\\;٥٤٧\\;}{\\;١٢\\;}\\;=\\;٤٥\\;\\text{والبقية}\\;٧\\;\\leftarrow\\;\\;٤٥\\;\\frac{\\;٧\\;}{\\;١٢\\;}}\nنعوض في المعادلة \n\\rtl{\\;\\;\\;٤٥\\;\\frac{\\;٧\\;}{\\;١٢\\;}} = \\rtl{\\;\\;١٠\\;\\frac{\\;١\\;}{\\;٣\\;}} + الطول \nلكي نعزل الطول لوحده نقوم بطرح طرفين المعادلة \\rtl{\\;\\;١٠\\;\\frac{\\;١\\;}{\\;٣\\;}\\;} \n الطول \\rtl{\\;\\;=\\;\\;٤٥\\;\\frac{\\;٧\\;}{\\;١٢\\;}\\;\\;-\\;\\;\\;١٠\\;\\frac{\\;١\\;}{\\;٣\\;}\\;\\;\\;\\;} \nاولا نقوم بطرح الاساسات من بعضها اي ٤٥ - ١٠ = ٣٥ \nثم الاسس مع بعضها \n\\rtl{\\;\\;=\\;\\;٤٥\\;\\frac{\\;٧\\;}{\\;١٢\\;}\\;\\;-\\;\\;\\;١٠\\;\\frac{\\;١\\;}{\\;٣\\;}\\;\\;\\;\\;=\\;٣٥\\;\\frac{\\;٧\\;}{\\;١٢\\;}\\;-\\;\\frac{١\\;}{\\;٣\\;}\\;=\\;\\;٣٥\\;\\frac{\\;٧\\;}{\\;١٢\\;}\\;-\\;\\frac{١\\;\\times\\;٤\\;\\;}{\\;٣\\;\\times٤}\\;\\\\\\;\\\\٣٥\\;\\frac{\\;٧\\;}{\\;١٢\\;}\\;-\\;\\frac{٤\\;}{\\;١٢\\;\\;}\\;=\\;\\;٣٥\\;\\frac{\\;٣\\;}{\\;١٢\\;}\\;\\leftarrow\\text{ نبسط الكسر}\\;\\;\\leftarrow\\;\\;٣٥\\;\\frac{\\;١\\;}{\\;٤\\;}}","entity_id","entity_user_id",{"_8":80,"_54":81,"_349":41,"_350":361,"_352":-5},[],{"_8":84,"_54":85,"_349":41,"_350":363,"_352":-5},[],"imagesURLs",[],"isMobile","questionId","streamId","routes/_visitor","actionData","errors"]

مستطيل محيطه وعرضه ، ما طوله ؟

مستطيل محيطه $\rtl{\;\frac{\;\;۱\;\;}{\;٦\;\;}\;\;۹۱\;}$ وعرضه $\rtl{\;\frac{\;\;۱\;\;}{\;\;۳\;\;}\;۱۰\;\;}$ ، ما طوله ؟