Question

what if no sides of a trapezium are given
how can you solve it?
Explain it with an example​

Answer 1

Suppose we have a trapezium whose perimeter is 39cm and the 2 parallel sides are 8cm and 17cm.

Thus, the solution is:

39=17+8+2(leg)

39=25+2(leg)

2(leg)=39−25

2(leg)=14

leg=142=7

Also,

Perimeter= Base one + Base two + 2(leg),

[where the length of "leg" is one of the two equivalent nonparallel sides.]

Hope it helps.

Answer 2

No sides are given .

Suppose the height is given 12 m .

The parallel sides are told equal .

Area is given 120 m²

We have to find the equal sides .

Area = 1/2 ( sum of parallel sides ) × height .

= > 120 m² = 1/2 ( x + x ) × 12 m

= > 240 m² = 12 m × 2 x

= > 2 x = 20 m

= > x = 20 m / 2

= > x = 10 m

Hence 10 m is the parallel side .