Question

The parallel sides of a Trapezium are 65 and 40 its non parallel sides are 39 metre and 56 metre find the area of the trapezium​

Answer 1

Answer:

Draw the figure. If the height is h, then you have a 40-by-h rectangle in the center, with extra lengths of x and 25-x on the longer base.

x^2+h^2 = 56^2

(25-x)^2+h^2 = 39^2

x^2-56^2 = (25-x)^2 - 39^2

x = 224/5

so, h^2 = 56^2-x^2 = 28224/25

h = 168/5

so, the area is (40+65)/2 * 168/5 = 1764