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Area of a Rectangle & Square

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 units2, 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.

Third grade Lesson Length x Width | BetterLesson

Area = width × length
=> 2 × 3
=> 6 units2

We got the answer of 6 units2 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 units2. 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 of a Square | Math ∞ Blog

Area = width × length
Area = S2
=> 10 × 10
=> 102 = 100 units2

In this example, the area of the square can be found via the formula Area = width × length as well as Area = S2. Both formulas work since all sides of a square have the same measures. In the formula Area = S2, the superscript 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 units2.

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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