Steps to solve the problem:

1. Identify the given values:
- Height of the isosceles triangle: 8cm
- Perimeter of the triangle: 64cm

2. Find the length of the base of the triangle:
- Since the triangle is isosceles, the base will be split into two equal parts.
- Let the length of each base be x.
- Perimeter of the triangle = sum of all sides = 2x + height + 2x = 4x + 8
- 4x + 8 = 64
- 4x = 56
- x = 14

3. Calculate the area of the triangle:
- Area of a triangle = 1/2 base x height
- Since the triangle is isosceles, the height is also the altitude and bisects the base.
- Therefore, the base is divided into two equal parts, each of length 14cm.
- Area of the triangle = 1/2 x 14 x 8 = 56cm²

Answer: The area of the isosceles triangle is 56cm².

India: Size And Location:

India is the seventh-largest country in the world, with an area of 3,287,263 square kilometers. It is located in South Asia and is surrounded by the Indian Ocean, the Bay of Bengal, and the Arabian Sea. It shares its borders with Pakistan, China, Nepal, Bhutan, Bangladesh, and Myanmar. The northern part of India is dominated by the Himalayan mountain range, while the southern part is a peninsula with a coastline stretching over 7,500 kilometers. The capital of India is New Delhi, and its official language is Hindi. India is known for its diverse culture, rich history, and famous landmarks like the Taj Mahal and the Red Fort.

256cm