

Can you divide a rectangle into smaller rectangles?
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- How is the area of a rectangle used in game development for defining game areas or object hitboxes?
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- If both the length and width of a rectangle are halved, how does its area change?
- Consider a rectangle with vertices at (0, 0), (a, 0), (a, b), and (0, b), where a > 0 and b > 0. What is its area?
- How is the area of a rectangle calculated?
- If a linear transformation $T$ is applied to a rectangle $R$, how is the area of $T(R)$ related to the area of $R$ and the determinant of the transformation matrix?
- If a rectangle has an area of 48 square meters and a length of 12 meters, what is its width?
- A rectangle has a length of $3\sqrt{5}$ meters and a width of $2\sqrt{5}$ meters. What is its area?
- What is the average value of a function $f(x)$ over an interval $[a, b]$ and how is it related to the area under the curve?
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