Question

Plzz solve this plzz guys..❤️
The diagonals of a rhombus are in the ratio 3:4.If the longer diagonal is 12cm,then find the area of rhombus​

Answer 1

Step-by-step explanation:

let the sides of rhombus are 3x and 4x

ATQ

4x=12

x=3 cm

than smaller side= 3x=3*3=9 cm

area of rhombus is 1/2( 9*12)

=108/2

=54cm square

Answer 2

GIVEN :-

★ Diagonals of a rhombus are in the ratio 3:4 .

★ Longer diagonal is 12 cm.

TO FIND :-

★ The area of the rhombus.

SOLUTION :-

Let the ratio constant be "x".

Therefore , the diagonals of the rhombus are given by,

⇒d₁ = 3x.

⇒d₂ = 4x.

Here the longer diagonal is d₂ = 4x.

Therefore,

⇒Longer diagonal = 12 cm.

⇒4x = 12

⇒x = 12/4

⇒x = 3 cm.

Here , we fot the value of x = 3 cm . Now , substitute the value of x in both the diagonals.

⇒d₁ = 3x.

⇒d₁ = 3 × 3

⇒d₁ = 9 cm. [smaller diagonal]

Similarly,

⇒d₂ = 4x.

⇒d₂ = 4 × 3

⇒d₂ = 12 cm. [longer diagonal]

Now as we know that the area of rhombus is given by,

⇒Area = 1/2 × (d₁ × d₂)

⇒Area = 1/2 × (9 × 12)

⇒Area = 9 × 6

⇒Area = 54 cm².

Hence the required area of rhombus is 54 cm².