Introduction

In geometry, we define shapes as figures embraced by a distinctive boundary. This border is elegantly crafted by a combination of lines, points, and curves. Among these captivating shapes, we find the two-dimensional (2D) category, which are outlined by straight lines and commonly referred to as flat shapes or polygons, such as squares, rectangles, circles, rhombuses, and triangles.

These bewitching 2D shapes possess only two dimensions - length and breadth - and dance along a single plane. The enchanting region encased within their borders is known as the area, which is measured in square units. Now, let us delve deeper into the mystical realm of basic 2D shapes and explore the wonders of their areas.

Calculating the Area of a Rectangle

The realm claimed by a rectangle within a two-dimensional plane is known as its area. Boasting four sides and four vertices, a rectangle is a truly enchanting four-sided figure. Every corner in this quadrilateral is a crisp 90-degree angle, and its opposite sides not only mirror each other in equal length but also run parallel to one another.

To unveil the area of a rectangle, simply conjure up the enchanting formula:

Area of a Rectangle = Length (L) x Breadth (W, also known as width)

Calculating the Area of a Square

Square, like a rectangle, is a 2-dimensional figure, but with a touch of harmonious symmetry. The distinction between these two lies in the fact that rectangles feature only opposite sides of equal length, while squares, in an exquisite display of balance, have all four sides of equal length. One could say that a square is a special kind of rectangle that weaves its magic with sides of identical length.

Area of a square= side x side, or(side)²

Quiz Time

Now, you’ve learned how to calculate the area of a rectangle and square, let’s start practising to strengthen your memory.

1. Imagine we have a special rectangle, called the "Whimsy Rectangle," with a length of 4 magical units and a breadth of 2 magical units. If you want to know the area of this rectangle, how would you do it?

Answer: Area = 4 (Length) x 2 (Breadth) = 8 units

2. There is a square-shaped flower bed which has all four sides equal, with 3 metres. What is the area of this flower bed?

Answer: Area = (side)², so the area of this flower bed is equal to 3x3=9 m²

Summary

Today, we uncovered how to calculate the area of two-dimensional (2D) shapes, such as rectangles and squares. These captivating polygons, outlined by straight lines, feature only length and breadth as they dance along a single plane. Their territories, known as their areas, are measured in square units.

To calculate a rectangle's area, we use the formula: Area = Length (L) x Breadth (W). Meanwhile, for a square, we enchantingly cast the equation: Area = (side)².

As we explore and practise these wondrous formulas, our knowledge of these bewitching 2D shapes and their areas expands ever further, leading us to unveil the magic that lies within the realm of geometry.