• # question_answer 6)                 Find the areas of rectangles with the following Paris of monomials as their lengths and breaths respectively.                 (p, q); (10m, 5n); $(20{{x}^{2}},\,5{{y}^{2}});\,(4x,\,3{{x}^{2}});\,(3mn,\,4np)$.

(p, q) Area of the rectangle = Length $\times$ Breadth $=p\times q$ $=pq$ (10m, 5n) Area of the rectangle = Length $\times$ Breadth $=(10\times 5)\,\times (m\times n)$ $=50\times (mn)$ $=50\,mn$                 $(20{{x}^{2}},\,5{{y}^{2}})$                                 Area of the rectangle = Length $\times$ Breadth $=(4x)\times (3{{x}^{2}})$ $=(4\times 3)\times (x\times {{x}^{2}})$ $=12\times {{x}^{3}}=12{{x}^{3}}$                 (3mn, 4np)                                 Area of the rectangle $=(3mn)\times (4np)$ $=(3\times 4)\times (mn)\times (np)$ $=12\times m\times (n\times n)\times p$ $=12\,m{{n}^{2}}p$.