Question

the diagonals of a rhombus are in the ratio 3:4. if the longer diagonal is 12cm then find the area of the rhombus

Answer 1

Solution :-

Given,

• Ratio of diagonals = 3 : 4
• Longer diagonal = 12 cm

We need to find ,

• Area of rhombus = ?

Let the given ratio be a part of ‘x’

Now , the longer diagonal is 4x

[ °.° 3 < 4 ]

→ 4x = 12

→ x = 12 ÷ 4

→ x = 3cm

Now , finding other diagonal .

→ 3x = other diagonal

→ 3(3)

→ Other diagonal = 9cm

Now , finding area of rhombus

Area of rhombus = 1/2 × d₁ × d₂

Substituting known values,

⇒ Area of rhombus = 1/2 × 12 × 9

⇒ Area of rhombus = 6 × 9

⇒ Area of rhombus = 54 cm²

Hence , area of rhombus = 54cm²

Answer 2

Answer:

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