(1).Figure(a) showsa piece of paper in the shape of a trapezium. It is cut into several pieces and the pieces obtained should completely cver the notice board in Figure(b).Suggest a possible way to cut the people.
(2) In the figure,△ABC lies inside rectangle PQRS. Find a point D inside PQRS such that the area of △ABC is equal th the area of △abc. Explain briefly.
- 良師益友Lv 79 年 前最佳解答
My candid comments as follows:
1) Area of trapezium = 1.5 m^2 = Area of the square.
Hence, the trapezium can just cover the square.
You can cut the trapezium into several pieces with dimensions
Piece I: A rectangle 1 m x 0.75 m ( its central part ), and it is put on L.H.S of the square.
Piece II: The L.H.S. triangle ( 0.5 m base and 0.75 m height ) which is put on top R.H. corner of the square.
Piece III and IV: Cut the R.H.S of the trapezium into parts to fill in the spaces left in the bottom R.H. corner of the square.
2) It has no solution because
Reason I: You have not defined "a", "b" or "c".
Reason II: Your D and 4 vertices P, Q, R, S are all unused.
Sounds to me the problem was wrongly edited.
Hope I can help you.資料來源： Mathematics Teacher Mr. Ip