Question

1. The diagonals of a rhombus are 9.5cm and 10cm. Find its area.​

Answer 1

Given :

• Diagonal 1 = 9.5 cm
• Diagonal 2 = 10 cm

To Find :

• Area = ?

Solution :

$\bigstar$ Formula Used :

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

Where :

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

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$\bigstar$ Calculating the Area :

${\dashrightarrow{\qquad{\sf{ Area = \dfrac{1}{2} \times D_1 \times D_2 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{1}{2} \times 9.5 \times 10 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{1}{2} \times \dfrac{95}{10} \times 10 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{1}{\cancel2} \times \dfrac{95}{10} \times \cancel{10} }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = 1 \times \dfrac{95}{10} \times 5 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{95}{10} \times 5 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{95}{\cancel{10}} \times \cancel5 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \dfrac{95}{2} }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Area = \cancel\dfrac{95}{2} }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\pink{\pmb{\frak{ Area = 47.5 \; {cm}^{2} }}}}}}}}$

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$\bigstar$ Therefore :

❛❛ Area of the given Rhombus is 47.5 m² . ❜❜

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