Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively $(3 m n, 4 n p)$ .

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Solution

Solve for the area of rectangle.
Length of rectangle $l = 3 m n$
Breadth of rectangle $b = 4 n p$
Area of the rectangle $= l \times b$
$= 3 m n \times 4 n p = 12 m n^{2} p$
Hence, the area of rectangle is $12 m n^{2} p$ .

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

Q. 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

Q. 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:
$(p, q); (10 m, 5 n); (20 x^{2}, 5 y^{2}); (4 x, 3 x^{2}); (3 m n, 4 n p)$

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Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively 3mn,4np.

Solve for the area of rectangle.Length of rectangle l=3mnBreadth of rectangle b=4npArea of the rectangle =l×b=3mn×4np=12mn2pHence, the area of rectangle is 12mn2p.

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively $(3 m n, 4 n p)$ .

Solve for the area of rectangle.
Length of rectangle $l = 3 m n$
Breadth of rectangle $b = 4 n p$
Area of the rectangle $= l \times b$
$= 3 m n \times 4 n p = 12 m n^{2} p$
Hence, the area of rectangle is $12 m n^{2} p$ .