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۱۲",[306,309,312,315],{"_8":307,"_33":308},158335,"\\rtl{\\frac{\\;۱\\;}{\\;٤\\;}}",{"_8":310,"_33":311},158336,"\\rtl{\\frac{\\;۱\\;}{\\;۳\\;}}",{"_8":313,"_33":314},158333,"\\rtl{\\frac{\\;۱\\;}{\\;۱۲\\;}}",{"_8":316,"_33":317},158334,"\\rtl{\\frac{\\;۱\\;}{\\;٦\\;}}",[],{"_120":320},[165,321,166,322,168],9,931,"ما نسبة مساحة المثلث المظلل إلى مساحة المستطيل $\"\"$ ","detailedAnswer",[326,336,338,340],{"_8":55,"_33":56,"_327":19,"_328":329,"_335":-5},"is_correct","question_option_details",[330],{"_8":331,"_33":332,"_333":-5,"_334":-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","has_access",{"_8":63,"_33":64,"_327":21,"_328":337,"_335":-5},[],{"_8":50,"_33":51,"_327":21,"_328":339,"_335":-5},[],{"_8":59,"_33":60,"_327":21,"_328":341,"_335":-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 ؟