Question

The area of a trapezium having two parallel sides as 5 cm and 7 cm and height as 6 cm is 12 sq.cm 36 sq.cm 6 sq.cm 72 sq.cm​

Answer 1

Let the length of the smaller parallel side =x cm

Then the length of the other parallel side =2x cm

Area of trapezium=

2

1

×Sum of parallel sides×height

⇒90=

2

1

×(x+2x)×6

⇒90=3x×3

⇒90=9x

⇒x=

9

90

=10

∴x=10cm

Hence the length of the two sides are 10cm,20cm