Question

The ratio of the diagonals of a rhombus is 4:5. If area of it is 1000 cm", find the length of both diagonals. ​

Answer 1

Answer:

Given that diagonal of rhombus are in the ratio 2:3 and area is 27 sq

Let the diagonal of rhombus are 2x and 3x

Then area=

2

d

1

×d

2

=

2

2x×3x

=3x

2

sq cm

But area is 27 sq cm

∴3x

2

=27⇒x

2

=9⇒x=3

Then diagonals are 2×3=6 cm and 3×3=9 cm

Answer 2

area of rhombus is equal to (d1×d2)÷2

let D1 is equal to 4x

and d2 is equal to 5 x

so, (d1×d2)÷2

(4x×5x)÷2=1000

(20x^2)÷2=1000

10x^2=1000

1000÷10=x^2

100=x^2

x=10

Suddi 1 is equal to 4 into