Step-by-step explanation:

Given that diagonal of rhombus are in the ratio 6:7 and area is 84 sq

Let the diagonal of rhombus are 6x and 7x

Then area= (d1×d2)/2

(6x×7x)/2 = 21sq cm

But area is 84sq cm

∴ 21x²= 84

x²= 84/21

x²= 4

x=√4

x= 2

Then diagonals are 6×2=12cm and 7×2=14cm

so -. 12/14 = 6/7