Area of Square and Rectangle

Overview

**Area of a Square and a Rectangle** :

Area of square $={\phantom{\rule{1ex}{0ex}}\text{side}}^{2}$

Area of rectangle $=\phantom{\rule{1ex}{0ex}}\text{length}\phantom{\rule{1ex}{0ex}}\times \phantom{\rule{1ex}{0ex}}\text{width}$

Area of a figure is the "surface-span within a closed shape".

The area of a square of side $7$ cm is "$7\times 7=49c{m}^{2}$". *Area of a square is square of the side.*

The area of a rectangle of length $7$ cm and width $5$ cm is "$7\times 5=35c{m}^{2}$". *Area of the rectangle is the product of its length and width.*

What is the area of a rectangle with sides $2$cm and $15$mm?

The answer is "$2\times 1.5=3c{m}^{2}$". The unit of measurement is made uniform before calculating the area.

summary

**Area of a Square and a Rectangle** :

Area of square $={\phantom{\rule{1ex}{0ex}}\text{side}}^{2}$

Area of rectangle $=\phantom{\rule{1ex}{0ex}}\text{length}\phantom{\rule{1ex}{0ex}}\times \phantom{\rule{1ex}{0ex}}\text{width}$

Outline

The outline of material to learn "Mensuration basics : Length, Area, & Volume" is as follows.

Note: * click here for detailed outline of Mensuration (Basics). *

• ** Measuring Basics**

→ __Introduction to Standards__

→ __Measuring Length__

→ __Accurate & Approximate Meaures__

→ __Measuring Area__

→ __Measuring Volume__

→ __Conversion between Units of Measure__

• ** 2D shapes**

→ __Perimeter of Polygons__

→ __Area of Square & rectangle__

→ __Area of Triangle__

→ __Area of Polygons__

→ __Perimeter and area of a Circle__

→ __Perimeter & Area of Quadrilaterals__

• ** 3D shapes**

→ __Surface Area of Cube, Cuboid, Cylinder__

→ __Volume of Cube, Cuboid, Cylinder__