Question #2949e

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Answer 1 · 2018-01-07T09:07:49

$58 c m$ $58cm$

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

Therefore area of parallelogram = $b \times h$ $bxxh$
where, $b$ $b$ = length of base
and $h$ $h$ = height of parallelogram

Suppose, the length of base = $b$ $b$ cm

So, $139.2 =$ $139.2 =$ $b \times 9.6$ $bxx9.6$ ( $9.6$ $9.6$ cm is the height)

or, $b$ $b$ = $\frac{139.2}{9.6}$ $(139.2)/9.6$ = $14.5 c m$ $14.5cm$

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

Therefore, perimeter = $4 \times 14.5$ $4xx14.5$ = $58$ $58$ cm