Problema Solution
The area of a trapezium is 216m^2 and its height is 12m.If one of the parallel sides is 14m less than the other,find the length of each of the parallel sides.
Answer provided by our tutors
let
'a' and 'b' be the parallel sides of the trapezium
h = 12 m the height of the trapezium
Area = (a + b)*h/2
the Area of a trapezium is 216 m^2
(a + b)*h/2 = 216
(a + b)12/2 = 216
one of the parallel sides is 14 m less than the other
a = b + 16
by solving the system of equations
a = b + 16
(a + b)12/2 = 216
to see the step by step solution of the system click here:
we find
a = 26 m
b = 10 m
the lengths of the parallel sides of the trapezium are 26 m and 10 m.