The length of a rectangular garden is 7 m greater than the width. the area is 78m^2. what are the dimensions for length and width?

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Answer 1 · 2016-08-07T04:21:37

$Width = 6 m Length = (6 + 7) = 13 m$ $"Width"=6m " Length"=(6+7)=13m$

Let $Width = x m Length = (x + 7) m$ $"Width"=x m " Length"=(x+7)m$

So by the area

$(x + 7) \cdot x = 78$ $(x+7)*x=78$

$\Rightarrow x^{2} + 7 x - 78 = 0$ $=>x^2+7x-78=0$

$\Rightarrow x^{2} + 13 x - 6 x - 78 = 0$ $=>x^2+13x-6x-78=0$

$\Rightarrow x (x + 13) - 6 (x + 13) = 0$ $=>x(x+13)-6(x+13)=0$

$\Rightarrow (x + 13) (x - 6) = 0$ $=>(x+13)(x-6)=0$

$:.x=6$ negative solution meanigless.

$"Width"=6m " Length"=(6+7)=13m$