To solve this puzzle, we need the details about the lengths of the line segments and the dimensions related to the area calculations. Since you haven’t provided specific measurements or equations, I can't give you the exact lengths and areas directly. However, I can help you understand how to calculate these values.
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For the lengths of overlines TU and GH, if we have two endpoints for each, we can use the distance formula:
\[ \text{Length} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
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For the area of a rectangle, we would use the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]
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For the area of a triangle, if we know the base and height, we would use:
\[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \]
To give you accurate answers and the 4-letter code as requested, please provide the lengths or other necessary details related to TU, GH, and the measurements needed to find the areas.
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