Question

The ratio of the diagonals of a rhombus
is 4:5. If area of it is 1000 cm2, find the length of both diagonals
​

Answer 1

Answer:

I hope it is helpful to you and others. Please mark me as brainliast.

Step-by-step explanation:

Diagonal 1 = 4x

Diagonal 2 = 5x

Area = 1000 cm^2

Area of Rhombus = 1/2 × D1 × D2

= 1000 = 1/2 × 4x × 5x

= 1000 = 1/2 × 20x

= 1000 = 10x

= 1000/10 = x

= 100 = x

= x = 100 cm

Diagonal 1 = 4x

= 4(100)

= 400 cm

Diagonal 2 = 5x

= 5(100)

= 500 cm