Find areas of rectangles with following pairs of monomials as their length and breadth respectively.
(i) $(p, q)$
(ii) $10 m, 5 n$
(iii) $20 x^{2}, 5 y^{2}$
(iv) $(4 x, 3 x^{2})$
(v) $3 m n, 4 n p$

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Solution

Area of rectangle, $A = Length \times Breadth$
(i) $A = l \times b = p \times q = p q$

(ii) $A = l \times b = 5 n \times 10 m = 50 m n$

(iii) $A = l \times b = 20 x^{2} \times 5 y^{2} = 100 x^{2} y^{2}$

(iv) $A = l \times b = 4 x \times 3 x^{2} = 12 x^{3}$

(v) $A = l \times b = 3 m n \times 4 n p = 12 m n^{2} p$

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Question 2
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively:
$(p, q); (10 m, 5 n); (20 x^{2}, 5 y^{2}); (4 x, 3 x^{2}); (3 m n, 4 n p)$

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.
$1. (p, q)$

$2. (10 m, 5 n)$

$3. (20 x^{2}, 5 y^{2})$

$4. (4 x, 3 x^{2})$

$5. (3 m n, 4 n p)$

Question 2
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively:
$(p, q); (10 m, 5 n); (20 x^{2}, 5 y^{2}); (4 x, 3 x^{2}); (3 m n, 4 n p)$