Question

find the area of the rhombus. whose diagonals are 8cm 8mm and 6cm 5mm. ​

Answer 1

Given : Diagonals of a Rhombus are 8 cm 8 mm and 6 cm 5 mm .

To Find : Find the Area of the Rhombus

$\\ \qquad{\rule{200pt}{2pt}}$

SolutioN : Let's Covert the given values first and tha by applying the formula we can Calculate the Area . Let's Solve :

$\maltese$ Converting the Values :

• 8 cm 8 mm = 88 mm
• 6 cm 5 mm = 65 mm

$\maltese$ Calculating the Area :

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times D_1 \times D_2 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times 88 \times 65 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times 5720 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{5720}{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \cancel\dfrac{5720}{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{ Area = 2860 \; {mm}^{2} }}}}} \; {\green{\bigstar}} \\ \\ \\ \end{gathered}$

$\therefore \;$ Area of the Rhombus is 2860 mm² or 28.6 cm² .

$\\ \qquad{\rule{200pt}{2pt}}$

Answer 2

Converting the Values :

8 cm 8 mm = 88 mm

6 cm 5 mm = 65 mm

$\begin{gathered} \\ \\ \end{gathered}$

$\maltese✠ Calculating \: the \: Area :$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times D_1 \times D_2 } \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times 88 \times 65 } \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{1}{2} \times 5720 } \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \dfrac{5720}{2} } \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { Area = \cancel\dfrac{5720}{2} } \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{ Area = 2860 \; {mm}^{2} }}}}} \; {\purple{\bigstar}} \\ \\ \\ \end{gathered} \end{gathered}$

∴ Area of the Rhombus is 2860 mm² or 28.6 cm² .

$\begin{gathered} \\ \qquad{\rule{200pt}{2pt}} \end{gathered} </p><p>$