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Varying and Fixed Measures
Rectangles with Given Perimeter or Area
Maximum area for a Given Perimeter (whole numbers)
Minimum Perimeter for a Given Area (whole numbers)
Miscellaneous
100
If both of these are fixed in a rectangle, so are the perimeter and area
What is the length and width?
100
These are three different whole numbers areas given a perimeter of 12 for a rectangle.
What are 5cm2, 8cm2 and 9cm2?
100
P=16 cm
What is 16cm2?
100
p=36cm2
What is 24cm?
100
The least amount of outside enclosement for a fixed area.
What is minimum perimeter?
200
If this is fixed in a rectangle, the width will have to change to alter the perimeter or area.
What is the width?
200
These are five different whole numbers areas given a perimeter of 48 for a rectangle.
What are 23cm2, 44cm2, 63cm2, 80cm2, and 95cm2.
200
P= 22cm
What is 30cm2?
200
A=60cm2
What is 32cm?
200
The most amount of interior space for a fixed perimeter.
What is maximum area?
300
This will result in the the area and width being fixed.
What is if the perimeter and length are fixed too.
300
These are three different whole numbers perimeters given an area of 60cm2 for a rectangle.
What are 64cm, 38cm, and 22cm?
300
p=80cm
What is 400cm2?
300
A=125cm2?
What is 100cm?
300
The shape that will give the maximum area for a fixed perimeter in a rectangle.
What is a square?
400
These are four different pair combinations if you cut a chocolate bar 10 cm long into two parts.
What is 1cm and 9cm, 2cm and 8cm, 3cm and 4cm and 5cm and 5cm.
400
These are five different whole numbers perimeters given an area of 240cm2 for a rectangle.
What are 482cm, 244cm, 128cm, 68cm, and 76cm?
400
P=16m (one side missing)
What is 32cm2?
400
A=24cm2 (one side missing)
What is 14cm?
400
The pattern you notice in a table of values for calculating minimum perimeter for a fixed area in an a rectangle with one side missing?
What is the numbers go down and then back up again?
500
This is the amount of different possible perimeters for a fixed area if you are not restricted to whole numbers.
What is an infinite amount?
500
This is another shape that you could apply these exact table of values to in order to find relationships between perimeter and area.
What is a parallelogram?
500
p=100m (one side missing)
What is 1250cm2?
500
A=72cm2? (one side missing)
What is 24cm?
500
The time length of the flight from Toronto, Canada, to Hong Kong.
What is 14 hours?