Question

Find the area of a rohmbus whose side is 6 cm and whose altitude is 4cm if one of its diagonal is 8 cm long, find the length of other diagonal

Answer 1

Solution -

We know, rhombus is a parallelogram in some cases. So, we can use the same formula of parallelogram to find the area of rhombus

∵ Area of Rhombus = Area of ||gm

= [base × height]

∴ Area of rhombus

= [ 6 × 4 ] cm²

= 24 cm²

Let the other diagonal be x cm

According to Question,

Area of rhombus = 24 cm²

[∵ Area of rhombus = 1/2 × d1 × d2 ]

⇒ 1/2 × 8 × x = 24

⇒ 4 × x = 24

⇒ x = 24/4

⇒ x = 6

∴ Other diagonal = x cm = 6 cm

∴ Area of rhombus is 24 cm² and it's other diagonal is 6 cm

#Be Brainly

Answer 2

here is your answer



The area of rhombus is base*height(since rhombus is a parallelogram. It means the area is 6*4cm^2 = 24 cm^2.

Now there is another formula for calculating the area of a rhombus . That is 1/2× diagonal1×diagonal2.

Using this we get

24=1/2×8×diagonal2

It means diagonal 2 is 6 cm in length (on solving).