Question

the ratio of two diagonals of rhombus of 2:3 if its area is 300sqcm find its two diagonals​

Answer 1

Answer:

1/2*2x*3x =3x^2 =300

or x^2 =300/3=100

or x=10

or diagonals are 20 and 30 cm

HOPE IT HELPS

PLEASE MARK THE BRAINLIEST AND THANK IT.

Answer 2

Answer:

The length of both the diagonals of a rhombus are 20 cm and 30 cm respectively.

Step-by-step explanation:

Given:

• The ratio of two diagonals of a rhombus is 2:3.
• Area of a rhombus = 300 cm²

To find:

• Its two diagonals.

Solution:

Let the two diagonals of rhombus are 2x and 3x respectively.

( As the ratio of two diagonals of a rhombus is 2:3 ).

✰ Area of a rhombus = 1/2 × the product of both the diagonals

Putting the values in the formula, we have:

• 300 = 1/2 × 2x × 3x
• 300 = 1/2 × 6x²
• 300 × 2 = 6x²
• 600 = 6x²
• x² = 600/6
• x² = 100
• x = √100
• x = 10

Now, find out both the diagonals.

• First diagonal = 2x
• First diagonal = 2 × 10
• First diagonal = 20 cm

• Second diagonal = 3x
• Second diagonal = 3 × 10
• Second diagonal = 30 cm

____________________________