Perimeter is the distance around the outside of a shape. It is the sum of all the side lengths of the shape.

Here are the formulas for calculating the perimeter of different shapes:

**Rectangle:**Perimeter = 2 * (length + width)**Square:**Perimeter = 4 * side length**Triangle:**Perimeter = sum of all three sides**Circle:**Perimeter = 2 * π * radius (or π * diameter)

Let's solve some example problems to practice calculating perimeter:

Find the perimeter of a rectangle with a length of 8 units and a width of 5 units.

Perimeter = 2 * (8 + 5) = 2 * 13 = 26 units

What is the perimeter of a square with a side length of 10 inches?

Perimeter = 4 * 10 = 40 inches

Determine the perimeter of a triangle with side lengths of 7 cm, 9 cm, and 12 cm.

Perimeter = 7 + 9 + 12 = 28 cm

Calculate the perimeter of a circle with a radius of 5 meters. (Use π ≈ 3.14)

Perimeter = 2 * 3.14 * 5 = 31.4 meters

Perimeter is the total distance around the boundary of a shape. To find the perimeter, add up all the side lengths of the shape. Use the appropriate formula for different shapes, such as rectangles, squares, triangles, and circles.

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.