Rectangle Properties and Calculations

This video tutorial explains how to find the length and width of a rectangle when given the perimeter. It covers two problems, demonstrating the use of equations and substitution to solve for the dimensions. The video also includes calculating the area of the rectangle and emphasizes the importance of having a relationship between length and width to solve such problems.

What is the relationship between the length and width in the first problem?

• The length is twice the width.

• The length is 4 cm longer than the width.

• The length is half the width.

• The length is 4 cm shorter than the width.

What is the formula for the perimeter of a rectangle?

• Perimeter = l * w

• Perimeter = 2(l + w)

• Perimeter = l + w

• Perimeter = 2l + 2w

How do you simplify the equation 56 = 2l + 2w?

• Divide everything by 2

• Multiply everything by 2

• Add 2 to both sides

• Subtract 2 from both sides

What is the width of the rectangle in the first problem?

• 10 cm

• 16 cm

• 14 cm

• 12 cm

What is the length of the rectangle in the first problem?

• 10 cm

• 12 cm

• 16 cm

• 14 cm

How do you calculate the area of a rectangle?

• Subtract the width from the length

• Divide the length by the width

• Multiply the length and width

• Add the length and width

What is the area of the rectangle in the first problem?

• 180 square cm

• 200 square cm

• 192 square cm

• 210 square cm

In the second problem, how is the length related to the width?

• The length is three less than twice the width.

• The length is half the width.

• The length is three more than twice the width.

• The length is twice the width.

What is the width of the rectangle in the second problem?

• 6 feet

• 7 feet

• 5 feet

• 4 feet

What is the area of the rectangle in the second problem?

• 75 square feet

• 70 square feet

• 65 square feet

• 60 square feet