Only need help with(ii) Explain what the graph is showing.As the width increases, first the area increases to a maximum, then it decreases.orAs the width decreases, first the area decreases to a minimum, then it increases. (iii) What width, in miles, should you use to enclose the most area?(width)(iv) What is the length, in miles, of the maximum-area rectangle that you have made?(length) You have 20 miles of fence that you will use to enclose a rectangular shaped field.(a) Identify the graphs which correspond to arranging the 20 miles of fence into rectangles of dimension 9 miles by 1 mile(s), and 8 miles by 2 miles.101018-8.6yy4-422248104810XXIII10108-86-6yy4-42468104610X.XIIIIV9x18x2III v(b) What are the areas of these rectangles?9.square miles (9×1)16square miles (8×2)2. (c) The first two parts of this exercise are designed to show you that you can get different areas for rectangles of the same perimeter. In general, if you arrange the 20 miles of fence into a rectangle of width w miles, then it will enclose an area of A = w(10 – w)square miles.(i) Select the graph of the formula for enclosed area: A = w(10 - w).10010080806060AA40402020246810 12 14 16 18 204681012Maple Generated PlotOIOI20024610 12 14 16 18 20150-50A100A -10050-15024 6810 12 14 16 18 20-200OIVOIII(ii) Explain what the graph is showing.O As the width increases, first the area increases to a maximum, then it decreases.O As the width decreases, first the area decreases to a minimum, then it increases.(iii) What width, in miles, should you use to enclose the most area?(width)(iv) What is the length, in miles, of the maximum-area rectangle that you have made?(length)

Question

Only need help with(ii) Explain what the graph is showing.As the width increases, first the area increases to a maximum, then it decreases.orAs the width decreases, first the area decreases to a minimum, then it increases.    (iii) What width, in miles, should you use to enclose the most area?(width)(iv) What is the length, in miles, of the maximum-area rectangle that you have made?(length) You have 20 miles of fence that you will use to enclose a rectangular shaped field.(a) Identify the graphs which correspond to arranging the 20 miles of fence into rectangles of dimension 9 miles by 1 mile(s), and 8 miles by 2 miles.101018-8.6yy4-422248104810XXIII10108-86-6yy4-42468104610X.XIIIIV9x18x2III v(b) What are the areas of these rectangles?9.square miles (9×1)16square miles (8×2)2. (c) The first two parts of this exercise are designed to show you that you can get different areas for rectangles of the same perimeter. In general, if you arrange the 20 miles of fence into a rectangle of width w miles, then it will enclose an area of A = w(10 – w)square miles.(i) Select the graph of the formula for enclosed area: A = w(10 - w).10010080806060AA40402020246810 12 14 16 18 204681012Maple Generated PlotOIOI20024610 12 14 16 18 20150-50A100A -10050-15024 6810 12 14 16 18 20-200OIVOIII(ii) Explain what the graph is showing.O As the width increases, first the area increases to a maximum, then it decreases.O As the width decreases, first the area decreases to a minimum, then it increases.(iii) What width, in miles, should you use to enclose the most area?(width)(iv) What is the length, in miles, of the maximum-area rectangle that you have made?(length)

Accepted Answer

(ii) From the graph , it can be seen that when the width is increasing in starting , graph is making…