Answer:
The shorter side: longer side is 385:512
Step-by-step explanation:
We are given that A man has 166 feet of fencing to build the pen
We are supposed to find If one end is a square, find the outside dimensions, if a = 6.
Side of square = x
Perimeter of square =[tex]4 \times side = 4x[/tex]
a=6
Length of rectangular part = x+a = x+6
Breadth of rectangular part = x
Perimeter of rectangular part = 2(l+b)=2(x+6+x)=2(2x+6)
So, ATQ
4x+2(2x+6)=166
4x+4x+12=166
8x=154
x=19.25
Shorter side = 19.25
Longer side = x+6=19.25+6=25.6
So, the shorter side: longer side =[tex]\frac{19.25}{25.6}=\frac{385}{512}=385:512[/tex]
Hence the shorter side: longer side is 385:512
