Question

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.

(p, q); (10m, 5n); (20x², 5y²); (4x, 3x²); (3mn, 4np)

Answer 1

We know that,

Area of rectangle = Length × Breadth

Area of 1^st rectangle = p × q = pq

Area of 2^nd rectangle = 10m × 5n = 10 × 5 × m × n = 50 mn

Area of 3^rd rectangle = 20x² × 5y² = 20 × 5 × x² × y² = 100 x²y²

Area of 4^th rectangle = 4x × 3x² = 4 × 3 × x × x² = 12x³

Area of 5^th rectangle = 3mn × 4np = 3 × 4 × m × n × n × p = 12mn²p