Ответ учителя по предмету Алгебра
Пусть сторона квадрата = х см, тогда
площадь квадрата = х²
одна сторона прямоугольника = (х+6)см
вторая сторона равна (х-3)см
площадь прямоугольника равна (х+6)(х-3)
(х+6)(х-3) = х²+12
х² + 6х — 3х — 18 = х² + 12
х²+3х-18-х²-12=0
3х-30=0
3х=30
х=10 см — сторона квадрата
х + 6 = 10 + 6 = 16 см — одна сторона прямоугольника
х — 3 = 10 — 3 = 7 см — вторая сторона прямоугольника
Рпрямоугольника = (16 + 7) *2 = 46см
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