Question

You are building a fence and you need four pieces of wood. Each one is going to be a different length. The fence has a total perimeter of 45 feet. When you go to the store you give the employee three different measurements because you forgot the fourth one. Piece 1= 15 feet, piece 2= 10 feet, piece 3= 5 feet. What is the length of the missing side and the different ratios and percentages for the pieces of wood?

Answer 1

15 ;

Piece 1 = (15/45) * 100% = 33.33%

Piece 2 = (10/45) * 100% = 22.22%

Piece 3 = (5 / 45) * 100% = 11.11%

Piece 4 = (15/45) * 100% = 33.33%

Thus translates to:

Piece 1 : Piece 2 : Piece 3 : Piece 4

3 : 2 : 1 : 3

Explanation:

Given that :

The 4 pieces of wood required are of different length :

Total perimeter of fence = 45 feets

Given that, the measurement of 3 woods are :

Piece 1= 15 feet ; piece 2= 10 feet ; piece 3= 5 feet

Length of piece 4 will be ;

Total length of the woods = perimeter of fence

Let length of piece 4 = x

(15 + 10 + 5 + x) feets = 45 feets

(30 + x) feets = 45 feets

30 + x = 45

x = 45 - 30

x = 15 feets

The ratio and percentages of the woods :

Piece 1 = (15/45) * 100% = 33.33%

Piece 2 = (10/45) * 100% = 22.22%

Piece 3 = (5 / 45) * 100% = 11.11%

Piece 4 = (15/45) * 100% = 33.33%

Thus translates to:

Piece 1 : Piece 2 : Piece 3 : Piece 4

3 : 2 : 1 : 3