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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);(10m,5n);(20x2,5y2);(4x,3x2);(3mn,4np)


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Solution

(i) Area of rectangle=length×breadth
=p×q=pq sq.units
(ii) Area of rectangle=length× breadth
=10m×5n=10×5 m×n=50mn sq.units
(iii) Area of rectangle=length×breadth
=20x2×5y2=(20×5)(x2×y2)=100x2y2 sq.units
(iv) Area of rectangle=length×breadth
=4x×3x2=(4×3)(x×x2)=12x3 sq.units
(v) Area of rectangle=length×breadth
=3mn×4np=(3×4)(mn×np)=12mn2p sq.units


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