Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the side length of the large square be x.
Calculating x.
25=x²+64-(16xcos20)
Therefore;
x = 11.70244 cm.
It implies;
Area large square is;
11.70244²
= 136.947101954 cm²
Area orange is;
Area triangle with height and base 8 cm each - Area triangle with two side 2.91176187413 cm and 2.27177411013 cm, and angle 70°
= ½(8)² - ½(2.91176187413*2.27177411013)sin70
= 32 - 3.107970027
= 28.892029973 cm²
Therefore;
Area Orangle ÷ Area Large Square to 3 d. p. is;
28.892029973 ÷ 136.947101954
= 0.21097218971
≈ 0.211
