Lesson 1: Investigate and use the formulas for area and perimeter of rectangles.

Property

Perimeter is the total distance around the outside of a two-dimensional shape.
Area is the amount of space inside the boundary of a two-dimensional shape.

Examples

Property

The perimeter of a rectangle is calculated using the formula $P = 2 \times (l + w)$, where $l$ is the length and $w$ is the width.
To find an unknown side length (e.g., width $w$) when the perimeter $P$ and length $l$ are known, you can use the formula:

Examples

Property

The area ($A$) of a rectangle is the product of its length ($l$) and width ($w$), calculated with the formula $A = l \times w$. To find a missing side length when the area is known, you can rearrange this formula using division: $l = \frac{A}{w}$ or $w = \frac{A}{l}$.

Examples

Property

For a rectangle with a given area $A$, the possible whole number dimensions (length and width) are the factor pairs of the number $A$.
A factor pair is a set of two whole numbers that multiply together to equal a specific number.

Examples