Question

the length of a rectangular Park is 3 times its breadth. If the perimeter of the park is 192 Meters ,find the dimensions of the park.

Answer 1

Let the breadth be x meters
So, length = 3x meters

Given : Perimeter is 192 meters

We know that,
perimeter of rectangle = 2(length + breadth)

=> 192 = 2(3x + x)

=> 192 = 2(4x)

=> 192 = 8x

=> 192/8 = x

=> 24 = x

Therefore,
breadth of the rectangular park = x = 24 meters

length of the rectangular park = 3x = 3×24 = 72 meters

Answer 2

Let the breadth be x therefore length =3x perimeter =192 perimeter = 2 (l+b) or, 2(3x +x) =192 or, 6x+2x = 192 or, 8x =192 or, x=192/8 or, x=24 therefore, breadth =24m and length =3x =3*24=72m (ans)