Question

(v) 40,0
nd the areas of rectangles with the following pairs of monomials as their leng
and breadths respectively.
(p, q); (10m, 5n); (20x 2, 5y2); (4x, 3x ?);(3mn, 4np)​

Answer 1

Step-by-step explanation:

Formula for area of a rectangle :

Length * brradth

a) (p,q)

Area = p * q = pq sq. Units

b) (10m , 5n)

Area = 10m * 5n = 50mn sq. units

c) (20x^2, 5y^2)

Area = 20x^2 * 5y^2 = 100(x^2)y^2

d) (4x,3x)

Area = 4x * 3x = 12x^2

e) (3mn, 4np)

Area = 3mn * 4np = 12m(n^2)p

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Answer 2

Area of rectangle = Length x breadth. So, it is multiplication of two monomials.

The results can be written in square units.

$(i) p × q = pq \\ </p><p>(ii)10m ×  5n = 50mn \\(iii) {20x}^{2} \times {5y}^{2} = {100x}^{2} {y}^{2} </p><p> \\ (iv)4x \times {3x}^{2} = {12x}^{3} </p><p> \\( v) 3mn ×  4np =  {12mn}^{2} p</p><p>$