Problema Solution

You are building a rectangular fence and you have 150 feet of total fencing. The length of your fence has to be 4 times the width. What are the fence's dimensions?

Answer provided by our tutors

let


l = the length of the fence

w = the width of the fence


the length of your fence has to be 4 times the width:


l = 4w


you have 150 feet of total fencing means:


2(l + w) = 150 divide both sides by 2


l + w = 75


by solving the system of equations


l = 4w

l + w = 75


we find


l = 60 in


w = 15 in


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the length of the fence is 60 inches.

the width of the fence is 15 inches.