Question

In a trapezium, the length of one of the
parallel sides is 2.5 cm more than the
other. Find the lengths of the parallel sides
if the height is 6 cm and area is 115.5 cm2.​

Answer 1

Step-by-step explanation:

18cm

Step-by-step explanation:

Ans= 18cm

Area= 115.5 cm^2

that is ,

1/2* height*( sum of the parallel sides) = 115.5 cm^2

Let one side =xcm

and another side =( x+2.5 )cm

1/2* 6cm* ( x+x+2.5)cm= 115.5 cm^2

3cm * (2x+2.5) cm= 115.5cm^2

2x+ 2.5 cm= 115.5cm^2/3cm

=38.5cm

2x =(38.5 - 2.5)cm

2x= 36cm

x= 18cm

another side = 18+2 .5 = 20.5 cm