a trapezium of area 105 cm^2 has parellel sides of length 5 cm and 9 cm.How far apart are the parellel sides?

Question

mensuration mathematics need the answers

Answer 1

The area, A, of a trapezium is given by the formula:

 

A = (h/2)(a + b) where h is the height of the trapezium and a and b are the lengths of the parallel sides.

 

From the problem statement, we know that A = 105 cm² and (a + b) = (5 cm + 9 cm) = 14 cm.  h is the unknown height we are trying to find.  Now plug these values back into the formula for the area of a trapezium:

 

105 = (h/2)*(14) = h*7

 

Now you can solve for h.