Question

The diagonals of a rhombus are in the ratio 2:3 and its area is 27 cm^2. Find the length of its sides.

Answer 1

Area =1/2(d1×d2)

27=1/2 (2×3)

27=1/2×6

27=3

27/3

9

Answer 2

Answer:

9cm

Step-by-step explanation:

the ratio of diagonals of rhombus = 2:3

let the first diagonal(d1) be 2x

the second diagonal(d2) be 3x

area of rhombus = 1/2(d1 x d2)

27 = 1/2(2x X 3x)

27 = 1/2 (2 x 3)x

27 = 1/2 x 6x

27 = 3x

x = 27/3

x = 9 cm

=>length of the side = 9cm