Question

If the diagonals of a rhombus are 40m and 42m , then its area

Answer 1

Answer:

840m²

Step-by-step explanation:

Diagonal 1 = 40m

Diagonal 2 = 42m

Area = 1/2 * d1 * d2

= 1/2 * 40 * 42

= 1680/2 = 840m²

Answer 2

Given : Diagonals of a Rhombus are 40 m and 42 m .

To Find : Area of the Rhombus

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SolutioN : Here we have been given the Diagonals .So, by using the formula we have to Calculate the Area .Let's Solve :

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Area{\small_{(Rhombus)}} = \dfrac{1}{2} \times D_1 \times D_2 }}}}}$

Where :

• $\sf{D_1 = Diagonal \; 1}$
• $\sf{D_2 = Diagonal \; 2}$

$\maltese$ Applying the Values :

$\begin{gathered} \qquad {\dashrightarrow{\qquad{\sf{ Area = \dfrac{1}{2} \times D_1 \times D_2 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{1}{2} \times 40 \times 42 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{1}{2} \times 1680 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{1}{\cancel2} \times \cancel{1680} }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = 1 \times 840 }}}} \\ \\ \\ \ {\dashrightarrow{\underline{\boxed{\pmb{\frak{ Area = 840 \; {m}^{2} }}}}}} \; {\red{\bigstar}} \\ \\ \end{gathered}$

$\maltese$ Therefore :

Area of the Rhombus is 840 m² .

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