### What's the Area? (Part I)

This is the first of a series of posts titled

This isn't a difficult problem, and I'm going to discuss things in the simplest terms I can muster.

I don't hope to produce an exhaustive list of means of finding the area in question--just a progression of means to serve as a basis for discussion.

To avoid confusion, let's define the problem a little more explicitly...

The blue trapezoid above is enclosed in a unit square (1 x 1). The height of its left side is 0.4 and the height of its right size is 0.7.

In the next post, we'll look to geometry for a solution.

*What's the Area?*These posts will discuss various means of finding the area of the blue trapezoid in the following figure.This isn't a difficult problem, and I'm going to discuss things in the simplest terms I can muster.

I don't hope to produce an exhaustive list of means of finding the area in question--just a progression of means to serve as a basis for discussion.

*Comments are encouraged.*To avoid confusion, let's define the problem a little more explicitly...

The blue trapezoid above is enclosed in a unit square (1 x 1). The height of its left side is 0.4 and the height of its right size is 0.7.

**What's the Area?**In the next post, we'll look to geometry for a solution.

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