Question

two parallel side DC and Ab of a trapezium are 12cm and 36cm respectively if non paraell side are each equal to 15cm find the area of trapezium

Answer 1

➩Given:

(i) ABCD is a Trapezium

where DC||AB

(ii) AD=CB=15cm

(iii) DC=12cm

(iv) AB=36cm

➩To Find:

The Area of the Trapezium ABCD

➩ Solution:

If DC||AB (given)

then DC||AE (parts of parallel lines)

Draw a line CE||AD

Now

AD||CE

DC||AE

Thus, AECD is a Parallelogram.

AD=CE (Opposite sides of parallelogram are always equal)

∴CE=15cm

Similarly,

DC=AE (Opposite sides of parallelogram are always equal)

∴AE=12cm

AE+EB=36cm

12+EB=36

EB=36-12

EB=24cm