Question

The difference
between two
parallel
sides
of a trapezium
is 8cm
The
perpendicular
distance
between them
is 19cm.
While the area
of trapezium is
760 cm² What will be
the length of the parallel
sides ?​

Answer 1

Step-by-step explanation:

A) 44 cm and 36 cm

Description for Correct answer:

Let the two parallel sides be a and b.

According to the question,

a - b = 8 ... (i)

and 12(a+b)×19=760

=> a + b = 40×2

=> a = b = 80 ... (ii)

From Eqs. (i) and (ii), we get

21 = 88 Therefore, a =882=44

From Eq. (i), we get

a - b = 8

Therefore, b = a - 8 = 44 - 8 = 36 c,

Therefore, a = 44 cm and b - 36 cm