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Question:

Find areas of rectangles with the following pairs of monomials as their length and breadth respectively: (i)(p,q) (ii)10m,5n (iii)20x²,5y² (iv)(4x,3x²) (v)3mn,4np

Solution:

Area of rectangle, A = Length × Breadth
(i) A = l × b = p × q = pq
(ii) A = l × b = 5n × 10m = 50mn
(iii) A = l × b = 20x² × 5y² = 100x²y²
(iv) A = l × b = 4x × 3x² = 12x³
(v) A = l × b = 3mn × 4np = 12mn²p