Understanding Perimeter and Solving Equations

The video tutorial explains how to solve a problem involving a rectangular garden with 202 feet of fencing. Ron wants the length to be 31 feet more than the width. The tutorial defines variables for width and length, calculates the perimeter, and solves the equation to find the width. It also optionally calculates the length. The solution involves algebraic manipulation and understanding of perimeter concepts.

What is the total length of fencing Ron has for his garden?

• 150 feet

• 202 feet

• 180 feet

• 220 feet

How much longer is the length of the garden compared to the width?

• 35 feet

• 31 feet

• 25 feet

• 20 feet

Which formula represents the perimeter of a rectangle?

• Length * Width

• 2 * (Length + Width)

• Length + Width

• 2 * Length + Width

If the width of the garden is 'w', how can the length be expressed?

• w + 35

• w + 25

• w + 31

• w + 20

What is the first step in solving the equation for the width?

• Multiply both sides by 2

• Add 31 to both sides

• Subtract 62 from both sides

• Distribute the 2

After distributing, what is the next step in solving the equation?

• Add 62 to both sides

• Divide by 4

• Combine like terms

• Multiply by 2

What operation is used to isolate the variable term in the equation?

• Multiplication

• Subtraction

• Addition

• Division

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

• 40 feet

• 35 feet

• 30 feet

• 45 feet

How do you find the length of the garden once the width is known?

• Divide the width by 2

• Subtract 31 from the width

• Add 31 to the width

• Multiply the width by 2

What is the length of the garden?

• 60 feet

• 75 feet

• 66 feet

• 70 feet