Question

the area of rectanle is x2+7x+12.if its breath is x+3 find its length
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Answer 1

Step-by-step explanation:

${x}^{2} +7x +12= area \: of \: rectangl \\ = {x}^{2} + (4 + 3)x + 12 \\ = {x}^{2} + 4x + 3x + 12 \\ = x(x + 4) + 3(x + 4) \\ = (x + 4)(x + 3) \\ \\ breadh = (x + 3) \\ therefore \: length = area \div breadth \\ = (x + 4)(x + 3) \div (x + 3) \\ = (x + 4)$

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