Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the base of the parallelogram be 2 units.
Therefore the area of the parallelogram is;
2(area triangle with height (sin70/sin35) unit and base 2sin75 unit).
= 2*½*(sin70/sin35)*2sin75
= 3.16496046094 square units.
Area shaded is;
Area triangle with height 0.55803775975 unit and base 1.17917770336sin55 unit.
= ½*0.55803775975*1.17917770336sin55
= 0.26951154209 square unit.
It implies;
The percentage of the shaded part of the parallelogram to 1 decimal place is;
(0.26951154209 * 100) ÷ 3.16496046094
= 26.951154209 ÷ 3.16496046094
= 8.5154789583%
≈ 8.5%
