△XYZ is similar to △PQR. If the ratio of the perimeter of △XYZ to the perimeter of △PQR is 16 : 9 and PQ = 3.6 cm, then what is the length (in cm) of XY?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. .
We know that,
The ratio of perimeter of two triangle is equal to the ratio of their sides
So,
Perimeter of △XYZ/Perimeter of △PQR = XY/PQ
⇒ 16/9 = XY/3.6
⇒ XY = 16/9 × 3.6
⇒ XY = 6.4 or cm