When working through the "Fence It" problems we encountered a similiar way to solve all three questions. We chose a certain number then we adjusted the number to make it more relevant to what the question is asking. For each question we were given 40m of fence.
Question One
For this question we had to use 40m of fencing to create the largest rectangular are possible. We started by usin 15 as the length and 5 as the width. Then we chose different numbers and adapted them to fit the problem to find the dimensions to create the bigest rectangular area possible. those dimensions were- 10 Length and 10 Width which is 100.
Question two
For this question we had the same quantity of fences except this time there was a wall creating one side of the rectangle. We then knew that we had to divide 40 by 3.2 of the sides had to have each length. We then used a length of 14 and a width of 13 which gave us an area of 182. We then tried different dimensions and found out that a length of 20 and a width of 10 gave us the biggest area of 200
Question three
This time we had to build a fence using 40m around a wall. Prior to working out dimensions we had to split the shape into two 2 composite parts. we were already given the dimensions from the lower part due to the length of the wall being 8m and the width being 10m. We then lablled the sides A, B and C. the first set of dimensions we tried were: A=14 B=8 and C=8. After that we then tried A=16, B=7 and C=7. after that we found that the biggest are possible to make had the dimensions of A=14, B=8 and C=8 which equalled 192m