Answer:
52 m
Step-by-step explanation:
- Width of the path = 3 m
- Breadth of the garden = 40 m
- Length of the garden = x
- Area of the path = 588 m²
Area of the path is the difference of the of full area and the area of the garden.
Full area will have the sides:
- 40 + 3*2= 46 and
- x + 3*2 = x + 6
Area of the garden is
So the difference is:
- 588 = (x + 6)*46 - 40*x
- 588 = 46x + 6*46 - 40x
- 588 = 6x + 276
- 6x = 588 - 276
- 6x = 312
- x = 312/6
- x = 52 m
The length of the garden is 52 m
