Find the area of a square with a side length of 5n⁴ units.

Solution:

Area of a square of side ‘a’ = a × a = a²

Given side length = 5n⁴ unit

∴ Area of the given square = 5n⁴ × 5n⁴ = 25n⁸ square units.

Example:

If the area of the square is 625 cm² then find the length of the side of the square and also find its perimeter.

Solution:

We know that the area of the square of side ‘a’ is a².

Here, a² = 625 cm²

∴ a = 25 cm 

Perimeter of a square = 4 a = 4 × 25 = 100 cm.

Find the area of a square with a side length of 5n⁴ units.

Summary:

The area of a square with a side length of 5n⁴ units is 25n⁸ square units.