Question

what will be the change in the area of a rhombus if the length of both its diagonal are doubled​

Answer 1

Answer:

Step-by-step explanation:

If length of Both the diagonals are doubled, the area increases by 4 times.

Let d₁ and d₂ be the diagonals of a rhombus.

Area of rhombus A₁ = 1/2 d₁*d₂

Now if diagonals are doubled,

New area A₂ = 1/2 *2d₁ * 2d₂ = 4. (1/2*d₁ * d₂) = 4A₁.

Thus area increases by 4 times.