Question #2949e

1 Answer
Jan 7, 2018

#58cm#

Explanation:

Rhombus can be considered a modified parallelogram. Rhombus has all the 4 sides of equal length.

Therefore area of parallelogram = #bxxh#
where, #b# = length of base
and #h# = height of parallelogram

Suppose, the length of base = #b # cm

So, #139.2 =# #bxx9.6# (#9.6# cm is the height)

or, #b# = #(139.2)/9.6# = #14.5cm#

As rhombus has all the 4 sides of equal length, therefore all sides are #14.5 cm# each.

Therefore, perimeter = #4xx14.5# = #58#cm