Q. 84.0( 5 Votes )

# The parallel sides of a trapezium is 77 m and 60 m and its non-parallel sides are 26 m and 25 m. Find the area of the trapezium.

Answer :

Let ABCD be a trapezium in which

AB = 60 m, CD = 77 m, BC = 26 m, AD = 25 m

and

Draw BE || to AD

Thus ABED is parallelogram

Hence AB = DE = 60 m.

AD = BE = 25 m

and EC = DC - DE = 77 - 60 = 17 m

and

Now in ΔBEC,

BE = 25 m, BC = 26m, EC = 17m

Let the height of B from EC be = h m

S = = 34

Area of ΔBEC =

´ EC ´ h =

⇒ ´ 17 ´ h =

or h = 24 m.

Now area of trapezium = (sum of parallel sides) × height

\\\\ Area of trapezium = (60 + 77) ´ 24 = 1644 m

^{2}.

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