Answer:
In total, Esme will need to purchase at minimum TWELVE (12) pieces of fence in order to encompass her entire rectangular garden.
Explanation:
Let us start off by isolating each of the two different length sides, and figure out which fence pieces can be used to it off.
For the three meter (3 m) side, we could utilize the following THREE (3) pieces...
- ONE (1) piece of 1.8 m length fence
- TWO (2) pieces of 0.6 m length fence
Adding up those pieces provides us with our desired garden side length...
(1 × 1.8 m) + (2 × 0.6 m) = 3.0 m!
For the six meter (6 m) side, we could utilize the following THREE (3) pieces...
- ONE (1) piece of 1.8 m length fence
- TWO (2) pieces of 2.1 m length fence
Adding up those pieces provides us with our desired garden side length...
(1 × 1.8 m) + (2 × 2.1 m) = 6.0 m!
We ought to not forget about the opposite sides of the aforementioned, to make up the four sides of the rectangle! In short, we double the number of pieces that we currently have...
In the end, the smallest number of pieces of fence that Esme will need to buy is TWELVE (12), consisting of the following pieces:
- TWO (2) pieces of 0.6 m length fence
- TWO (2) pieces of 1.8 m length fence
- TWO (2) pieces of 2.1 m length fence
I hope this helps! :)