A shape’s area is an indicator of how much space it occupies. When you need to know how much paint to buy for a wall or how much grass seed to grow a garden, calculating a shape or surface area comes in handy. In this article, you will learn the basics of measuring the area of a rectangle and square.

The simplest area equations are for squares and rectangles (and most widely used).

The area of a rectangle is calculated by multiplying its width by its length.

To calculate the area of a square, multiply the length of one of the sides by itself (since each side is the same length).

It’s a smart idea to measure two sides of a shape to make sure it’s a rectangle or a square. From a glimpse, a room’s wall, for example, can appear to be a square, but when measured, it could actually be a rectangle.

**Area = width × length**w = width

l = length

The final area value calculated must be written in square units (for both rectangles and squares). You will show the final answer as units^{2}, replacing “units” with the unit provided. If no unit is provided, then you can just keep it generic as units.

The following are application problems given to test your knowledge.

**Example 1: Find the area of the rectangle with a width of 2 and a length of 3.**

**Area = width × length** => 2 × 3

=> 6 units

^{2}

We got the answer of 6 units^{2} by applying the area formula of a rectangle. In the above diagram, it is listed that the width is 2 and the length is 3. We can now substitute those values into the formula, and we arrive at the answer of 6 units^{2}. Since no unit was provided, we just keep it generic.

Similarly, in the case of a square, let us take another example. Keep in mind that squares will always have all the sides equally in measurement.

**Example 2: Find the area of a square with a side measuring 10.**

**Area = width × length****Area = S ^{2}**

=> 10 × 10

=> 10

^{2}= 100 units

^{2}

In this example, the area of the square can be found via the formula ** Area = width × length** as well as

**Area = S**. Both formulas work since all sides of a square have the same measures. In the formula

^{2}**Area = S**, the superscript

^{2}**2**is used to symbolize that the variable

**S**(in this case, 10) is multiplied by itself 2 times (equaling 100). The units were also not provided in this problem, so we list the final answer as 100 units

^{2}.

That’s it! Calculating the area of a rectangle or square would be incredibly simple and convenient if you remember these formulas. If you have any questions, please leave a comment below, we will reply to you at the earliest.

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