

What is the moment of inertia of a rectangular lamina about an axis passing through one of its sides?
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- What are measurable sets and how is their area (or measure) defined?
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- Consider a rectangle whose diagonals intersect at a point $(h, k)$ and whose sides are parallel to the coordinate axes. If the length of the diagonal is $2d$, what can you say about the possible areas of the rectangle?
- A rectangular park has a length that is twice its width. If the width is 50 meters, what is the area of the park?
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- A map has a scale of 1 1000. A rectangular park on the map measures 10 cm by 5 cm. What is the actual area of the park in square meters?
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