Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Calculating Blue Area.
Area blue exactly in cm² decimal form is;
Area trapezoid with two parallel sides 12 units and (12-16tan15) units, and height 16 units - Area triangle with height (12-16tan15) units and base 4 units - Area triangle with height and base 12 units each - Area triangle with height 8√(2) units and base (8-8tan15)sin45 units.
= ½*16(12+12-16tan15) - ½*4(12-16tan15) - ½(12²) - ½*8√(2)*(8-8tan15)sin45
= 157.702503369 - 15.4256258422 - 72 - 23.4256258422
= 46.8512516846 cm²
