Philip P. answered • 03/07/14

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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 cm

^{2}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.