The height of a trapezium is 5x and the bottom part of the trapezium is 17x and 10x in the top part is 13x find the area of the trapezium the no the area of the trapezium is 400 find the height of the trapezium

Answer 1

Given:
Height of the trapezium = 5x
Bottom part of the trapezium = 17x
Top part of the trapezium = 13x
Area of the trapezium = 400

Using the formula for the area of a trapezium:
Area = (1/2)*(sum of parallel sides)*height

Substitute the given values:
400 = (1/2)*(17x + 13x)*5x
400 = (1/2)*30x*5x
400 = 150x^2

Divide by 150 on both sides:
150x^2 = 400
x^2 = 400/150
x^2 = 2.67
x = √2.67
x ≈ 1.63

Therefore, the height of the trapezium is:
Height = 5x = 5*1.63 ≈ 8.17

Therefore, the height of the trapezium is approximately 8.17.