Geometry Fundamentals

Exploring Area

Is there more area shaded pink or blue?


Exploring Area

Strategy can be more important than formulas when solving problems. By cutting and/or rearranging pieces, we can compare areas intuitively and efficiently.

As you move through the next several problems, continue to use creative strategies and your intuition about shapes to find solutions.

Exploring Area

Given that figures A, B, and C have the same dimensions, in which figure is the area of the regions shaded purple the greatest?

Note: The green quarter-circles of A, green half-circles of B, and green full circle of C all have the same radius.


Exploring Area

The figure consists of 6 unit squares. What is the area of the portion shaded green?


Exploring Area

The large triangles are identical, and the small triangles within a large triangle are also identical. Which is larger, the green area on the left or the purple area on the right?


Exploring Area

The area of the large square is 100 and all of the small, blue squares are congruent.

What is the total area shaded blue?


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