Question

The area of a trapezium with equal non-parallel sides is 162 m2. If the lengths of the parallel sides are 36 m and 20 m, then find the length of the non-parallel sides.

Answer 1

Step-by-step explanation:

The area of a trapezium with equal non-parallel sides is 162 m2. If the lengths of the parallel sides are 36 m and 20 m, then find the length of the non-parallel sides.

Answer 2

Step-by-step explanation:

Now,

$\frac{1}{2} \times (sum \: of \: 11 \: sides) \times height = 168$

∴ 36 = (36+20)×height

$height = \frac{336}{54} = 6m$

∴ height of non-parallel side=√6²+8²

= √100

= 10cm Ans.