Question

area of a trapezium is 405cm square . the length of the parallel sides is in the ratio 4:5 and the distance between them is 18cm . find the length of each parallel sides

Answer 1

Answer:

parallel side 1= 4x

parallel side 2 = 5x

height = 18cm

area = 405cm²

area of trapezium..= 1/2*(p1+p2)*h

405= 1/2(4x+5x)18

405= (4x+5x) 9

405= 36x+ 45x

405=81x

405/81= x

5= x

so.. parallel side 1= 4x =4*5=20cm

parallel side 2 = 5x= 5*5 = 25 cm

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Answer 2

Answer:

Let one side be 4x

Let the other side be 5x

Area of Trapezium = 1/2 (a+b) x h

1/2 (4x+5x)

810 / 18 = 9x

810 / 18 x 9

Answer = 5

4x = 4 x 5 = 20 cm

5x = 5 x 5 = 25 cm

Step-by-step explanation:

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