Consider the region R in the xy-plane bounded by the ellipse 
and the transformation 
and 
. Find the area of the ellipse. Round your answer to two decimal places.
Definitions:
Trade Deficit
A situation where a country's imports of goods and services exceed its exports, indicating a negative balance of trade.
GDP
Gross Domestic Product, the total value of all goods and services produced within a country over a specific time period, reflecting the overall economic health of the country.
Gold Standard
A financial regime where the national currency or banknotes are directly pegged to the value of gold.
Exchange Rate
The rate at which one currency can be exchanged for another.
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