Give possible expressions for the length and | vedclass

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(A) The area of a rectangle is given by the product of its length and breadth: $	ext{Area} = 	ext{Length} 	imes 	ext{Breadth}$.Given area = $20 x^

Vedclass · Accepted Answer

$(5 x+3)$ and $(4 x+2)$

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(A) The area of a rectangle is given by the product of its length and breadth: $	ext{Area} = 	ext{Length} 	imes 	ext{Breadth}$.Given area = $20 x^{2} + 22 x + 6$.To find the length and breadth,we factorize the quadratic expression:$20 x^{2} + 22 x + 6 = 20 x^{2} + 10 x + 12 x + 6$.Grouping the terms: $(20 x^{2} + 10 x) + (12 x + 6)$.Factor out common terms: $10 x(2 x + 1) + 6(2 x + 1)$.Thus,the factors are $(10 x + 6)(2 x + 1)$ or $(5 x + 3)(4 x + 2)$.Therefore,the possible expressions for length and breadth are $(5 x + 3)$ units and $(4 x + 2)$ units.

Give possible expressions for the length and breadth of a rectangle whose area is given as $(20 x^{2}+22 x+6)$ square units,where $(x > 0)$.

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