The perimeter of a rectangular garden is 362m. If the width of the garden is 84m, what is its length?

The perimeter of a rectangular garden is 362m. If the width of the garden is 84m then length of rectangular garden is 97 meters.

Solution:

Given that perimeter of the rectangular garden = 362 meters

Width of the rectangular garden = 84 meters

Let's assume length of the rectangular garden = "x" meters

Perimeter of rectangle is given by following formula,

Perimeter of rectangle = 2 (Length + Width)

On substituting assumed value of length and given value of perimeter of rectangle and width, we get

362=2 (x+84)

On simplifying the above equation,

362=2x+168

2x=362-168

2x=194

x=97 meters

Hence required length of rectangular garden is 97 meters.

Answer: the length is 97