The parallel sides of a trapezium are 25cm and 11cm while its non-parallel sides are 15cm and 13cm find the area of the trapezium

2
by Nishasam

2015-02-10T14:18:26+05:30

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Area of trapezium is 216 m².please see the attachment
Plz mark as best
Hey is this not ans of or question
Your
Sorry I forgot about cm use cm square for area
nice hand-writing ....
2015-02-10T17:45:21+05:30
Draw CE such that AECD is a parallelogram
AE = CD = 11 cm
AD = CE = 15 cm

EB = 14 cm
Area of ΔECB =  where s = (a+b+c)/2
a = 13 cm, b = 14 cm, c = 15 cm
Here s = (13+14+15)/2 = 21 cm
Area of ΔECB =

= 84 sq cm
But Area of ΔECB = 1/2 × base (EB) × height (h)

1/2 × 14 × h = 84

h = 12 cm

Area of trapezium ABCD = 1/2 × h × (AB + CD)

= 1/2 × 12 × (25 + 11)

=  6 × 36

= 216 sq cm