Calculating Area and Perimeter of Rectangles

The video tutorial explains how to determine the dimensions and area of a rectangular field given its perimeter. The field is three times as long as it is wide, and the perimeter is 1,200 feet. By setting up and solving the equation 2x + 6x = 1,200, the width is found to be 150 feet and the length 450 feet. The area is then calculated as 67,500 square feet.

What is the relationship between the length and width of the rectangular field?

• The length and width are equal.

• The width is three times the length.

• The length is three times the width.

• The length is twice the width.

What is the perimeter of the rectangular field?

• 1,800 feet

• 1,500 feet

• 1,200 feet

• 1,000 feet

If the width of the field is represented by 'X', how can the length be expressed?

• 4X

• 3X

• 2X

• X

What equation represents the perimeter of the field in terms of X?

• X + 2(3X) = 1,200

• 2X + 3X = 1,200

• X + 3X = 1,200

• 2X + 2(3X) = 1,200

What is the value of X, the width of the field?

• 100 feet

• 150 feet

• 200 feet

• 250 feet

What is the length of the field?

• 300 feet

• 350 feet

• 400 feet

• 450 feet

How is the area of the rectangle calculated?

• Length + Width

• Length x Width

• Length - Width

• 2 x (Length + Width)

What is the area of the rectangular field?

• 60,000 square feet

• 65,000 square feet

• 67,500 square feet

• 70,000 square feet

What was the initial information used to determine the dimensions of the rectangle?

• The area of the field

• The volume of the field

• The perimeter of the field

• The diagonal of the field

What was the final step in solving the problem?

• Determining the length

• Calculating the area

• Determining the width

• Finding the perimeter