Sir Mike Ambrose is the author of the question.
Area R exactly, in square cm decimal form is;
Area square with side 2√(11) cm - Area triangle with side 2√(11) cm and 4.97194902762 cm, and angle 15° - Area trapezoid with parallel sides 1.97064750999 cm and 2√(11) cm, and height 2√(11) cm.
= (2√(11))² - ½(2√(11)*4.97194902762)sin15 - ½(1.97064750999+2√(11))*2√(11)
= 44 - 4.26794919252 - 28.5358983847
= 11.1961524228 cm²
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