Question

The area of a trapezium is 480 cm sq if the the parallel sides are 48 cm
72 cm long, find the distance
between them​

Answer 1

Answer:

Step-by-step explanation:

Area of Trapezium = 1/2 (a+b)h

Where :

a,b are length of parallel sides

h = height (distance between a and b)

1/2×(48+72)×h = 480

1/2×(120)×h = 489

60 × h = 480

h = 8cm

Answer 2

Step-by-step explanation:

Let the parallel sides of trapezium be 'a' and 'b' and the distance between them i.e. the height of trapezium be 'h'.

Therefore area of trapezium is given by

=1/2 *(sum of parallel side)*(distance between parallel side i.e. height of trapezium) ……(1)

Now take 'a'=12 & 'b'=8 …. (Sides are given)

Therefore,

Sum of parallel sides=a+b=12+8…. (2)

Sum of parallel side=20cm

Area=60 cm^2 …..(given) …..(3)

Putting (2) & (3) in (1) we get,

60=1/2 * 20*h

h=60/10

h=6cm

Therefore height of trapezium is 6cm.