Correct Answer – Option 1 : 17 cm

Given:

Area of the Rhombus = 240 cm2

Formula used:

Area of Rhombus = (d1 × d2)/2

Area of Rhombus = Side × Altitude

d12 + d22 = 4 × s2

Here, d1, d2, and s are diagonals and side of rhombus respectively.

Concept used:

All sides of a rhombus are equal and diagonals bisect each other at a right angle.

Calculation:

Let the diagonals be 8x and 15x

Area of Rhombus = (d1 × d2)/2

⇒ 240 = (8x × 15x)/2

⇒ x = 2

Then our diagonals are 16 cm and 30 cm

Now, d12 + d22 = 4 × s2

⇒ 162 + 302 = 4 × s2

⇒ s2 = 289

⇒ s = 17 cm

∴ The side of the rhombus is 17 cm