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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) - CBSE Class 8 - Mathematics

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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)

Solution

We know that,

Area of rectangle = Length × Breadth

Area of 1st rectangle = p × q = pq

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

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

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

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

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 9: Algebraic Expressions and Identities
Ex. 9.2 | Q: 2 | Page no. 143
Solution 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) Concept: Multiplying a Monomial by a Monomial - Multiplying Three Or More Monomials.
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