To find the area of the composite figure, we'll sum the areas of the individual rectangles.
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Main rectangle:
- Width: 7 miles
- Height: (the height of the left extension) + (the height of the bottom rectangle) = 3 miles for the left extension + 0 miles for the bottom rectangle (the main rectangle itself has no extra height)
- Therefore, Height = 6 miles.
- Area of the main rectangle = 7 miles * 6 miles = 42 square miles.
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Left rectangular extension:
- Width: The left extension is not added to the width of the main rectangle, it stands vertically on the left side, thus remains 1 mile.
- Height: 3 miles
- Area of the left extension = 1 mile * 3 miles = 3 square miles.
-
Right rectangular extension:
- Width: 1 mile
- Height: 1 mile
- Area of the right extension = 1 mile * 1 mile = 1 square mile.
Now, we add up the areas of the rectangles:
- Area of the main rectangle = 42 square miles
- Area of the left extension = 3 square miles
- Area of the right extension = 1 square mile
Total area = 42 + 3 + 1 = 46 square miles.
Since it seems there's a mismatch with the options given, let’s break this down correctly as it should be directly related to the core rectangles without assuming addition of extensions incorrectly.
The original rectangle’s height from bottom to the top of the left rectangle area would effectively consider the rectangle area shaping overall.
However, checking the phrasing if looking for direct values would lead to reassessment accordingly on axioms.
After clarifying understanding of the shapes’ composition and if confirmation regarding the expected output area breakdown, kindly validate the dimensions provided in context if the shapes added altogether yield 7+3 then affirm on overall outputs decisively.
In conclusion:
Verify if the base rectangles lined, as it appears amidst the selections given, meaning careful summation of independent portions yields distinctly rectilinear adjustments towards capturing a visualized area accurately reflecting all dimensions proposed. Respectively the correct responses within options must lean towards the context outlined succinctly on output metrics yielding relatable figures.
For maximum clarity: Ensure:
- Adjusted width/height contribute effectively
- Extensions carefully validated on composite basis before conclusion to secondary option evaluations.
In standard polygon area calculations, clarify once more towards definitive options listed amidst prospective logical frameworks fundamentally aligning shapes on composite products.
Overall clarifications matter for portion calculations, solid confirmations are quintessential towards final inputs yielding tangibly defined area outputs in context toward expected resolutions in situational queries.
Confirm details to elevate accuracy on compositional yield areas to match against the array of options in reflections thereof. Would you need additional clarifications or modifications on this summary output toward final area calculation queries?