151k views
5 votes
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 : ??

A man has 166 feet of fencing to build the pen shown in the illustration. If one end-example-1

1 Answer

0 votes

Answer:

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

User Ndarriulat
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories