Problema Solution

The length of the garden is 5 m longer than its width and the area is 14 m2. how long is the garden?

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let


l = the length of the garden, l>0

w = the width of the garden, w>0

A = 14 m^2 the area of the garden


The length of the garden is 5 m longer than its width


l = 5 + w


The formula for area A = length*width:


l*w = 14


plug l = 5 + w into l*w = 14


(5 + w)*w = 14


by solving we find


w = 2 m


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l = w + 5


l = 2 + 5


l = 7 m


the garden is 7 meters long.