Question

The area of a trapezium is 64 cm and its height is 8 cm. If one of the parallel sides is 1/3rd of the other, find the lengths of the two parallel sides.​

Answer 1

Answer:

One side is: 12cm

Other side: 4cm

Step-by-step explanation:

Area of trapezium=1/2×(sum of parallel sides)×h

Let one parallel side be =x

Then,other side will be =x/3

Therefore,

64cm^2=1/2×(x+x/3)×8

64cm^2=4(x+x/3)

64cm^2=4x+4x/3

64×3=4x × 3 + 4x/3 ×3 [Equalising both side]

192=12x+4x

192=16x

$\frac{192}{16} = x$

Therefore,

x=12 cm

Now therefore one side will be =12cm

And other will be =x/3=12/3

which is=4cm