Question

the area of rhombus is 98 m square if one diagonal is 14 find the other diagonal​

Answer 1

Explanation -:

Given :

• Area of a rhombus = 98m²
• One of it's diagonal = 14m

To Find :

• Other diagonal length

Solution :

Let us assume the other diagonal as 'x'

$\large\boxed { \rm{Area \: of \: a \: rhombus = \frac{1}{2} \times product \: of \: diagonals }}$

$\small \rm\pmb{ 98 {m}^{2} = \frac{1}{2} \times 14 \times x }$

$➻ \small\rm {98 \times 2= 14 \times x}$

$➻\small\rm{196 = 14 \times x}$

$➻\small\rm{ \frac{196}{14} = x }$

$\small{ \rm{x = 14}}$

$\small \fbox{\rm{Length \: of \: another\: diagonal \: =14m }}$

$\large \fbox{\rm{Additional Information}}$

• $\small\rm{Area \: of \: a \: parallelogram = Base × Height}$
• $\small\rm{Perimeter \: of \: the \: rhombus = 4a}$
• $\small\rm{Perimeter \: of \: a \: parallelogram = 2 (a + b)}$