The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
The perimeter, P, is:
$$P= x+x+y+y$$
$$P=2x+2y$$
$$P=2(x+y)$$
![Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (1) Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (1)](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
Example
Find the perimeter of this rectangle:
![Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (2) Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (2)](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
$$P=7+7+4+4$$
$$P=2\cdot 7+2\cdot 4$$
$$P=2\cdot (7+4)$$
$$P=2\cdot 11$$
$$P=22\,in$$
The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square.
![Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (3) Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (3)](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
Area, A, is x times y.
$$A=x\cdot y$$
Example
Find the area of this square.
![Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (4) Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (4)](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
$$A=x\cdot y$$
$$A=5\cdot 5$$
$$A=25\,in^{2}$$
There are different units for perimeter and area The perimeter has the same units as the length of the sides of rectangle or square whereas the area's unit is squared.
Video lesson
Calculate the perimeter and the area in feet
![Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (5) Calculating the area and the perimeter (Pre-Algebra, Inequalities and one-step equations) – Mathplanet (5)](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
FAQs
As a name described Pre-algebra is a primary branch of algebra where all the basic concepts are covered to understand the further complex topics of algebra. It is not at all difficult if learned with the best-sophisticated approach.
How to figure out the perimeter of a rectangle? ›
A rectangle has two equal lengths and two equal widths. In order to find the perimeter, or distance around the rectangle, we need to add up all four side lengths. This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length.
Is Pre-Algebra 8th grade hard? ›
8th-grade math can be tough as it is the transition year from middle school to high school. The difficulty of 8th-grade math depends on factors like – your basic math skills, attention span, and practice skills. Pre-algebra and Algebra I are considered to be the most challenging math course in grade 8.
Is Pre-Algebra 7th grade? ›
Pre-algebra is a common name for a course in middle school mathematics in the United States, usually taught in the 7th grade or 8th grade. The objective of it is to prepare students for the study of algebra. Usually, Algebra I is taught in the 8th or 9th grade.
How to calculate area and perimeter? ›
Find the area of the field along with its perimeter. Therefore, Area = length x width = 12 x 10 = 120 sq.m. Perimeter = 2 (length + width) = 2 x (12 + 10) = 2 x 22 = 44 m.
What is the basic formula for area? ›
Area Formulas
Area of a rectangle is the length times the width. Area of a parallelogram is base times the height. Area of a trapezoid is one half the sum of the two bases times the height. Area of a circle is π times the square of the radius.
How to calculate total area? ›
The basic formula for calculating area is Length times Width (LxW). If you are estimating the area for a rectangle you'll always use LxW. If you are calculating the area for a square you can multiply the length of one Side times itself, or (S2). The illustration above shows a room 12′ wide by 20′ long.
What is the formula for volume? ›
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'.
What is the rule for perimeter? ›
In a rectangle, you'll add up the two longer sides and the two shorter sides, or double the length and add it to double the width (P = 2l + 2w). Circle: To measure the distance around a circle, or its perimeter, you use the perimeter formula two times pi times the radius (P = 2πr).
What is the area of all shapes? ›
Area Formulas Table
Figures | Formula | Variables |
---|
Rectangle | Area = l×b | l is the length b is the breadth |
Square | Area = a2 | a is the side of the square |
Triangle | Area = 1/2×bh | b is the base h is the height |
Circle | Area = πr2 | r is the radius of the circle |
4 more rowsApr 10, 2024
4. Algebra I (Essentials): Some schools offer an "Essentials" or "Fundamentals" version of Algebra I, which is often less rigorous and covers only the most foundational aspects of algebra. While it might be easier than the standard Algebra I course, it still requires a solid understanding of basic math concepts.
Can kids skip Pre-Algebra? ›
Some math programs will tell you that you can skip Pre-Algebra and still have success in Algebra 1.
How long does it take to finish Pre-Algebra? ›
Note: This course was originally designed as a course in a Teacher Education program. Therefore, it might take more than 36 weeks, or 180 days, to complete. Depending on the level of your students, some units may go faster or slower than others.
Which is easier pre calculus or algebra? ›
It's great to see that you did well in Algebra 2 and are considering pre-calc next. As for difficulty, pre-calc is generally considered a bit more challenging than Algebra 2 because it combines several mathematical concepts from previous courses and introduces new topics.