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NCERT Solutions Class 8 Mathematics Solutions for Exercise 9.2 in Chapter 9 - Algebraic Expressions and Identities

Question 3 Exercise 9.2

Q2) Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively:

(p,q) ; (10m,5n) ; (20x^2,5y^2) ; (4x,\ 3x^2) ; (3mn,4np)

Answer:

Solution:

(i) Area of rectangle

= Length x Breadth

= p x q = pq sq,units

(ii) Area of rectangle

= Length x Breadth

= 10m x 5n = (10 x 5)(m x n)

= 50 mn sq.units

(iii) Area of rectangle

= Length x Breadth

= 20x^2\times5y^2=\left(20\times5\right)\left(x^2\times y^2\right)

= 100x^2y^2 sq.units

(iv) Area of rectangle

= Length x Breadth

= 4x\times3x^2=\left(3\times4\right)\left(mn\times np\right)

= 12mn^2p sq.units

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