Perimeter and Dimensions of Rectangles

The video tutorial explains how to find the length and breadth of a rectangle given its perimeter and the ratio of its sides. The instructor assumes variables for the length and breadth, forms an equation using the perimeter formula, and solves for the common variable. The final dimensions of the rectangle are calculated and presented as the solution.

What is the given perimeter of the rectangle?

• 300 centimeters

• 320 centimeters

• 400 centimeters

• 350 centimeters

What is the ratio of the lengths of the sides of the rectangle?

• 3:5

• 1:2

• 4:5

• 2:3

If the length of the rectangle is assumed to be 5X, what is the assumed breadth?

• 3X

• 5X

• 2X

• 4X

What is the formula for the perimeter of a rectangle?

• 2L + 2B

• L x B

• L + B

• 2(L + B)

How is the equation for the perimeter set up using the assumed dimensions?

• 2(5X) + 2(3X) = 320

• 2(5X + 3X) = 320

• 5X + 3X = 320

• 5X x 3X = 320

What is the total of 5X and 3X?

• 6X

• 7X

• 10X

• 8X

What operation is used to find the perimeter from the length and breadth?

• Multiplication

• Subtraction

• Division

• Addition

What is the simplified equation to find X?

• 16X = 320

• 8X = 320

• 12X = 320

• 10X = 320

What is the value of X after solving the equation?

• 20

• 15

• 30

• 25

What is the first step in solving for X?

• Calculate the perimeter

• Find the ratio

• Set up the equation

• Assume dimensions