Isolating Variables in Perimeter Formulas

The video tutorial explains how to determine the dimensions of a garden box with a given perimeter and length. It demonstrates setting up and solving an equation to find the unknown width using the perimeter formula. The tutorial also covers isolating the variable in the formula and presents alternative forms of the equation. The process involves simplifying expressions and performing basic arithmetic operations to solve for the width.

What is the given perimeter of the garden box?

• 18.5 feet

• 20.8 feet

• 22.3 feet

• 19.6 feet

What is the length of the garden box?

• 8.1 feet

• 7.4 feet

• 6.3 feet

• 5.2 feet

Which variable is used to represent the width of the garden box?

• z

• w

• y

• x

What is the formula for the perimeter of a rectangle?

• P = L * W

• P = 2(L + W)

• P = 2L + 2W

• P = L + W

After simplifying, what is the equation used to solve for the width?

• 14.8 = 2w

• 12.6 = 2w

• 10.4 = 2w

• 8.2 = 2w

What is the width of the garden box after solving the equation?

• 5.2 feet

• 4.1 feet

• 3.5 feet

• 6.0 feet

What is the first step in isolating the width variable in the perimeter formula?

• Add 2L to both sides

• Subtract 2L from both sides

• Multiply both sides by 2

• Divide both sides by 2

What does the equation simplify to after isolating the width term?

• W = P - 2L

• W = (P - 2L) / 2

• W = P + 2L

• W = P / 2

How can the formula for width be rewritten for clarity?

• W = 2P + L

• W = 2P - L

• W = P / 2 + L

• W = P / 2 - L

What is the equivalent form of the width formula?

• W = P / 2 + L

• W = P / 2 - L

• W = P + L

• W = P - L