Question

A man has 166 feet of fencing to build the pen shown in the illustration. If one end is a square, find the outside dimensions, if a = 6. What will be the shorter side: longer side : ??

Answer 1

The shorter side: longer side is 385:512

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 =
`4 * side = 4x`

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 =
`(19.25)/(25.6)=(385)/(512)=385:512`

Hence the shorter side: longer side is 385:512