Question

find the area of a rhombus whose sides are 22m and 14m

Answer 1

Step-by-step explanation:

Given :-

• The sides of a rhombus are 22m and 14m.

To Find :-

• Area of the rhombus.

Solution :-

★ We know that,

$\\ : \implies \underline{\boxed{ \bf Area_{(Rhombus)} = \frac{1}{2} \times d_1 \times d_2 }} \: \bigstar$

Substituting the values in the formula,

$\\ \longrightarrow \sf \: Area_{(Rhombus)} = \dfrac{1}{2} \times 22 \times 14 \\ \\ \longrightarrow \sf \: Area_{(Rhombus)} = \dfrac{1}{ \cancel2} \times \cancel{22} \times 14 \\ \\ \longrightarrow \sf \: Area_{(Rhombus)} = 11 \times 14 \\ \\ \longrightarrow \boxed{\bf \: Area_{(Rhombus)} = 154 \: {cm}^{2} }$

$\\ \bf{ \therefore \underline{ \: Area \: of \: rhombus \: is \: \pink{154 \: {cm}^{2} }}}$

Answer 2

✰ Given :

• The sides of rhombus are 22 m and 14 m. We need to find the area of the rhombus.

✰ To Find :

• To Find the area of the rhombus, we need to know the formula of rhombus of finding its area.

✰ Formula :

$\\ \: \: \: { \underline{ \boxed{ \mathfrak{ \pmb{Area \: \: _{(rhombus )}= \dfrac{1}{2} \: (product \: \: of \: \: diagonals)}}}}}$

✰ Solution :

⠀

So, substituting the given values :

$\\ : \implies{ \tt{Area \: of \: the \: rhombus = \dfrac{1}{2} \: (product \: \: of \: \: diagonals)}} \\ \\ \\ \tt : \implies \: Area \: of \: the \: rhombus = \dfrac{1}{2} \: (22 \: m \times 14 \: m) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: Area \: of \: the \: rhombus = \dfrac{1}{2} \times \: 308 \: {m}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: Area \: of \: the \: rhombus = \dfrac{308}{2} \: {m}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: Area \: of \: the \: rhombus = { \underline{ \boxed { \mathfrak{ \pmb{154\: {m}^{2}}}}}}\: \: \: \bigstar \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

⠀⠀Hence, Area of the rhombus is 154 m² .