Mathematics Question and Solution
Area yellow is;
Area triangle with two side (6√(65)/7) cm and 7.95918367347 cm, and angle acos(7/√(65))°
= ½*(6√(65)/7)*7.95918367347sin(acos(7/√(65)))
= 13.6443148688 cm²
Area blue is;
Area trapezium with two parallel side 5.34693877547 cm and 7.95918367347 cm, and height 4.57142857142 cm.
=0.5*4.57142857142*(5.34693877547+7.95918367347)
= 0.5*4.57142857142*13.3061224489
= 30.4139941689 cm²
Therefore;
Area Yellow ÷ Area Blue exactly in decimal is;
13.6443148688 ÷ 30.4139941689
= 0.4486196319
≈ 0.45 to 2 decimal places.
