The length of a rectangular park is three times its breadth. If the perimeter of the park is 192 metres, find the dimensions of the park.

Let the breadth of the rectangular park be x metres.

Then, the length of the park = 3x metres.

Perimeter of the park = 192 metres

We know the formula:

Perimeter of a rectangle = 2(Length + Breadth)

∴ 192 = 2(3x + x)

⇒ 192 = 6x + 2x

⇒ 192 = 8x

⇒ x = $\dfrac{192}{8}$

⇒ x = 24

∴ Breadth = x = 24 m

And

Length = 3x = 3 × 24 m = 72 m

Hence, the dimensions of the park are : Length = 72 m and Breadth = 24 m.