Question

The area of a trapezium is 105 cm?
and its height is 7 cm. If one of the
parallel sides is longer than the other
by 6 cm, then the length of the longer
side, in cm, is
(1) 16
(2) 15
(3) 12
(4) 18​

Answer 1

Answer:

The length of the longer side is 18cm

Answer 2

Let the side be X,

area=1/2*(sum of the parallel sides)*hight

105=1/2*(x+x+6)*7

105=1/2*(2x+6)*7

105=(1/2*2x+1/2*6)*7

105=(x+3)7

105=7x+21

105-21=7x

84=7x

84/7=x

x=12

So,

option (3) is the answer.