What Is Area?
Exploratory Challenge 1
a. What is area?
b. What is the area of the rectangle below whose side lengths measure 3 units by 5 units?
c. What is the area of the 3/4 × 5/3 rectangle below?
Exploratory Challenge 2
a. What is the area of the rectangle below whose side lengths measure √3 units by √2 units? Use the unit squares on the graph to guide your approximation. Explain how you determined your answer. b. Is your answer precise?
Use Figures 1, 2, and 3 to find upper and lower approximations of the given rectangle.
If it takes one can of paint to cover a unit square in the coordinate plane, how many cans of paint are needed to paint the region within the curved figure?
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