Mathematics

2010-07-30 11:17 pm
The base and the height of a triangular metal plate are 8cmand 4cm respectively. The metal plate is melted and recast into a metal plate in the shape of a trapezium with a height the same as that of the triangle.Find two possible pairs ofthe lengths of the shorter base and the longer base ofthenew metal plate.

回答 (1)

2010-07-30 11:51 pm
✔ 最佳答案
Let the shorter base and the longer base of the new metal plate be S and L ,The area of a trapezium metal plate = The area of a triangular metal plate (S + L) * 4 /2 = 8 * 4 / 2S + L = 8
S = 1cm , L = 7cmorS = 2cm , L = 6cmorS = 3cm , L = 5cmorS = 3.9cm , L = 4.1cm

or....................(Any 2 pairs)(S < 4cm , L > 4cm)



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