Question

The diagonal of rhombus are 6.5cm and 10cm.then Its area is.... *​

Answer 1

Required Answer :

The area of rhombus = 32.5 cm²

Given :

• Two diagonal of rhombus :-
• First diagonal = 6.5 cm
• Second diagonal = 10 cm

To find :

• Area of the rhombus = ?

Solution :

In this question, we are given the two diagonals of thw rhombus and we are asked to find the area of the rhombus. To find the area of the rhombus we'll use the following formula :

• Area of rhombus = ½ × first diagonal × second diagonal

Substituting the given values :

→ Area of rhombus = ½ × 6.5 × 10

→ Area of rhombus = ½ × 65/10 × 10

→ Area of rhombus = ½ × 65

→ Area of rhombus = 32.5 cm²

Therefore, the area of rhombus = 32.5 cm²

Answer 2

✰ Given :

• The diagonal of rhombus are 6.5 cm and 10 cm. 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 :

$\\ \\ : \implies{ \tt{Area \: of \: the \: rhombus = \dfrac{1}{2} \: (product \: \: of \: \: diagonals)}} \\ \\ \\ \tt : \implies \: Area \: of \: the \: rhombus = \dfrac{1}{2} \: (6.5 \: cm \times 10 \: cm) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: Area \: of \: the \: rhombus = \dfrac{1}{2} \times \: 65 \: {cm}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: Area \: of \: the \: rhombus = \dfrac{65}{2} \: {cm}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt : \implies \: Area \: of \: the \: rhombus = { \underline{ \boxed { \mathfrak{ \pmb{32.5 \: {cm}^{2}}}}}}\: \: \: \bigstar \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

⠀⠀Hence, Area of the rhombus is 32.5 cm² .