A rhombus has one of its diagonal 65% of the other. A square is drawn using the longer diagonal as side. What will be the ratio of the area of the rhombus to that of the square?

Question

Question

This question was previously asked in

NTPC CBT-I (Held On: 4 Jan 2021 Shift 2)

Answer 1

Given:

A rhombus has one of its diagonal 65% of the other.

A square is drawn using the longer diagonal as a side.

Concept used:

Area of rhombus = ½(diagonals product)

Area of square = side × side

Calculations:

Let diagonal(larger) of rhombus be 100 cm

Let the diagonal(smaller) diagonal be 65 cm (65% of larger diagonal)

Area of Rhombus = ½(100 × 65) = 3250

Side of square = 100 cm (equal to larger diagonal)

Area of square = (100 × 100) = 10000

Ratio,

⇒ Rhombus : Square = 3250 : 10000

⇒ 13 : 40

∴ The correct choice is option 3.

Download Solution PDF