Understanding Perimeter and Unit Conversion

The video tutorial explains how to find the width of a rectangular fence given its perimeter in kilometers and length in meters. It starts by converting the perimeter to meters, then explains the concept of perimeter and how it relates to the dimensions of a rectangle. The tutorial provides two methods to solve for the width: one by considering half the perimeter and another using equations. Both methods conclude that the width is 200 meters.

What is the perimeter of the rectangular fence in meters?

• 0.72 meters

• 72 meters

• 720 meters

• 7.2 meters

How many meters are there in one kilometer?

• 100 meters

• 10,000 meters

• 100,000 meters

• 1,000 meters

Why is it important to convert units before solving the problem?

• To make the numbers smaller

• To ensure consistency in calculations

• To make the problem easier

• To avoid using decimals

What is the significance of dimensional analysis in unit conversion?

• It allows for subtraction of units

• It is used for multiplying units

• It helps in adding units

• It ensures units are consistent

What is the formula for the perimeter of a rectangle?

• Length * Width

• 2 * (Length + Width)

• Length + Width

• 2 * Length + Width

If the length of the rectangle is 160 meters, what is the equation to find the width?

• Width = 720 - 160

• Width = 720 / 160

• Width = 720 + 160

• Width = 160 - 720

What is the width of the rectangle in meters?

• 400 meters

• 160 meters

• 360 meters

• 200 meters

In the alternative method, what is the first step to solve for the width?

• Add 160 meters to both sides

• Subtract 320 meters from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the result of subtracting 320 from 720 in the alternative method?

• 400

• 600

• 200

• 500

What is the final step to find the width using the alternative method?

• Divide by 2

• Subtract 160 meters

• Multiply by 2

• Add 160 meters