Understanding Rectangular Area Calculations

The video tutorial explains how to determine the width of a rectangular RV parking lot given its area and length. Rosa has enough asphalt to cover one twelve-hundredth of a square mile, and the parking lot must be one-eighth of a mile long. The tutorial walks through setting up an equation using the area formula for rectangles, solving for the unknown width by multiplying by the reciprocal, and simplifying the resulting fraction to find that the width is one one-hundred-fiftieth of a mile.

What is the total area that Rosa can cover with asphalt?

• One thousandth of a square mile

• One twelve-hundredth of a square mile

• One hundredth of a square mile

• One-tenth of a square mile

If the length of the parking lot is one-eighth of a mile, what is the unknown variable we need to find?

• The area of the parking lot

• The length of the parking lot

• The width of the parking lot

• The perimeter of the parking lot

What equation can be set up to find the width of the parking lot?

• Length + Width = Area

• Length x Width = Area

• Length / Width = Area

• Length - Width = Area

What mathematical operation is used to solve for the width in the equation one-eighth times width equals one twelve-hundredth?

• Multiplication by the reciprocal

• Division by the reciprocal

• Subtraction

• Addition

What is the reciprocal of one-eighth?

• Zero

• One

• One-eighth

• Eight

How many eights are there in 1200?

• 150

• 100

• 200

• 50

What is the simplified form of the fraction obtained after multiplying eight over one by one over 1200?

• One over 50

• One over 200

• One over 150

• One over 100

What is the width of the parking lot in miles?

• One one-hundred-fiftieth

• One one-hundredth

• One one-thousandth

• One one-fiftieth

What is the final step in determining the width of the parking lot?

• Dividing the area by the length

• Subtracting the length from the area

• Adding the length and width

• Multiplying the simplified fraction

What is the purpose of multiplying by the reciprocal in this problem?

• To find the length

• To solve for the width

• To simplify the equation

• To find the area