Question

A rectangular fence has a perimeter of 184 feet. The length is four feet less than three times the width. Find the length and the width. = 2+2

Answer 1

lenth = 68 [ft]; width=24 [ft].

Explanation:

1) if the length is 'l' and the width - 'w', then it is possible

2) to write the condition 'The length is four feet less than three times the width' as 3w-4=l;

3) to write the given perimeter as 2(w+l)=184.

4) then it is possible to make up the system:

`\left \{ {{2(w+l)=184} \atop {3w-4=l}} \right. \ = > \ \left \{ {{w+l=92} \atop {3w-l=4}} \right. \ = > \ \left \{ {{w=24} \atop {l=68}} \right.`