Garden Dimensions and Area Problems

The video tutorial explains how to solve a problem involving a rectangular garden where the length is four feet longer than the width, and the perimeter is 192 feet. The teacher guides through setting up an equation to find the width, solving it, and then calculating the area of the garden using the derived dimensions. The process involves understanding the relationship between length and width, formulating and solving a linear equation, and applying the formula for the area of a rectangle.

What is the relationship between the length and width of the garden?

• The length is twice the width.

• The length is four feet longer than the width.

• The length is equal to the width.

• The length is four feet shorter than the width.

If the width of the garden is represented as x, how can the length be expressed?

• x - 4

• x + 4

• 4x

• 2x

What equation represents the perimeter of the garden?

• x + 4x = 192

• 4x + 4 = 192

• 2x + 2(x + 4) = 192

• x + (x + 4) = 192

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

• Divide both sides by 2.

• Add 8 to both sides.

• Subtract 8 from both sides.

• Multiply both sides by 4.

What is the value of x, representing the width of the garden?

• 44 feet

• 48 feet

• 46 feet

• 50 feet

What is the length of the garden once x is found?

• 48 feet

• 44 feet

• 46 feet

• 50 feet

What formula is used to calculate the area of the garden?

• Length + Width

• Length - Width

• Length x Width

• 2 x (Length + Width)

What is the area of the garden in square feet?

• 2100 square feet

• 2200 square feet

• 2300 square feet

• 2400 square feet

If the width of the garden is 46 feet, what is the perimeter?

• 184 feet

• 192 feet

• 188 feet

• 200 feet

How much longer is the length compared to the width?

• 2 feet

• 8 feet

• 4 feet

• 6 feet