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)
(p, q) ; (10m, 5n) ; (20x2 , 5y2) ; (4x, 3x2) ; (3mn, 4np)
Solution and Explanation
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
(ii)10m × 5n = 50mn
(iii) 20x2 × 5y2 = 100x2y2
(iv) 4x × 3x2 = 12x3
(v) 3mn × 4np = 12mn2p
Top Questions on Multiplying a Monomial by a Monomial
- Complete the following table of products:
First monomial → Second monomial ↓
2x
–5y
3x2
– 4xy
7x 2 y
–9x 2 y 2
2x
4x2
. . .
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–5y
. . .
. . .
-15x2y
. . .
. . .
. . .
3x2
. . .
. . .
. . .
. . .
. . .
. . .
– 4xy
. . .
. . .
. . .
. . .
. . .
. . .
7x 2 y
. . .
. . .
. . .
. . .
. . .
. . .
–9x2 y2
. . .
. . .
. . .
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. . .
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Fill in the blanks in the sentences below (the verbs given in brackets will give you a clue).
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(iii) We heard with _____ that the lion had been recaptured. (relieve)
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