Question

The length of a rectangular park is thrice its breadth. If the perimeter of the park is 168 metres, fund its dimensions.

Answer 1

Let the breadth of the park be x metres.
Then, the length of the park will be 3x metres.
Perimeter of the park = 2 (Length + Breadth) = 2(3x + x)m
Given perimeter = 168 m

∴ 2(3x + x) = 168
or, 2 (4x) = 168
or, 8x = 168 [On expanding the brackets]
or, `(8x)/8 =168/8` [Dividing both the sides by 8]
or, x = 21 m
∴ Breadth of the park = x = 21 m
Length of the park = 3x = 3 × 21 = 63 m