EXPERIMENTING WITH AREA AND PERIMETER: QUADRILATERALS
Introduction and Background
Looking at a collection of different polygons, there are two ways to decide which quadrilateral is the “largest” or is the “smallest.”
One way to decide is to measure the area of each, and then compare.
Another way to decide is to measure the perimeter of each, then decide.
Step 1. Collect Data and Make Observations
Use the MOVE (pointer) tool to drag the three blue corner points of the quadrilateral to construct new, different quadrilaterals.
Watch the Area and Perimeter labels as they change.
Experiment with several quadrilaterals.
Step 2. Problems
Can you make two quadrilaterals having the same area in square units, but different perimeters?
Record the heights and widths:
Left quadrilateral area = Right quadrilateral area =
Left quadrilateral height = Right quadrilateral height =
Left quadrilateral width = Right quadrilateral width =
Can you make two more quadrilaterals having the same area in square units, but different perimeters?
Record the heights and widths:
Left quadrilateral area = Right quadrilateral area =
Left quadrilateral height = Right quadrilateral height =
Left quadrilateral width = Right quadrilateral width =