Mr. McGregor has a rectangular garden that is 15 meters long and 12 meters wide. The document calculates the maximum and minimum total lengths of fencing needed for the garden. For the maximum, the garden is 15.5 meters long, 12.5 meters wide and the gate is 1.5 meters wide, requiring 54.5 meters of fencing. For the minimum, the garden is 14.5 meters long, 11.5 meters wide and the gate is 2.5 meters wide, requiring 49.5 meters of fencing.

1. Mr McGregor’s Garden
October 2014 -
Remember - 2 metres to nearest metre could
be 1.5 to (2.4999) 2.5 metres long

2. The garden to nearest metre
a)
i) Minimum width of gate
ii) Max length and width
iii) Maximum length of
fencing required for
side with the gate in it.
iv) Calculate the total
maximum length of
fencing
b) find max gate width,
min. side lengths and then
the total minimum length
15m long
12 metres wide
2 metres
wide gate
revision - upper and lower bounds

3. The garden to nearest metre
a)
i) Minimum width of gate
ii) Max length and width
iii) Maximum length of
fencing required for
side with the gate in it.
iv) Calculate the total
maximum length of
fencing
15m long
12 metres wide
2 metres
wide gate
1.5
15.5 12.5
14
54.5
revision - upper and lower bounds
15.5+12.5+12.5+14 =
54.5 m. of fencing

4. The garden to nearest metre
b)
i) Maximum width of
gate
ii) Min length and width
iii) Minimum length of
fencing required for
side with the gate in it.
iv) Calculate the total
minimum length of
15m long fencing
12 metres wide
2 metres
wide gate
revision - upper and lower bounds

5. The garden to nearest metre
b)
i) Maximum width of
gate
ii) Min length and width
iii) Minimum length of
fencing required for
side with the gate in it.
iv) Calculate the total
minimum length of
15m long fencing
12 metres wide
2 metres
wide gate
2.5
14.5 11.5
12
49.5
revision - upper and lower bounds
14.5+11.5+11.5+12 =
49.5 m. of fencing