Length = 8cm
width =1cm
area of path =L×B
=8×1
=8cm

The Problem:

A square garden with a side length of 8 meters is surrounded by a 1-meter wide path. We need to find the area of the path.

Understanding the Problem:

To solve this problem, we need to visualize the garden and the path around it. The garden is a square with side length 8 meters, and the path surrounds it on all four sides. The path has a width of 1 meter.

Approach:

To find the area of the path, we need to subtract the area of the garden from the area of the entire region including the garden and the path.

Calculating the Area of the Garden:

The garden is a square, and the formula to find the area of a square is side length squared. So, the area of the garden is:

Area of the Garden = (Side Length)^2
= 8^2
= 64 square meters

Calculating the Area of the Entire Region:

To find the area of the entire region, we need to consider the garden and the path. The entire region is also a square with side length equal to the sum of the garden side length and twice the path width.

Side Length of the Entire Region = Garden Side Length + (2 × Path Width)
= 8 + (2 × 1)
= 8 + 2
= 10 meters

The area of a square is given by side length squared. So, the area of the entire region is:

Area of the Entire Region = (Side Length)^2
= 10^2
= 100 square meters

Calculating the Area of the Path:

To find the area of the path, we subtract the area of the garden from the area of the entire region.

Area of the Path = Area of the Entire Region - Area of the Garden
= 100 - 64
= 36 square meters

Conclusion:

The area of the path surrounding the square garden is 36 square meters.