Finding Rectangle Dimensions and Perimeter

The video tutorial presents a word problem involving the perimeter of a rectangle. The problem states that the length of the rectangle is 15 meters more than its width, and the perimeter is 74 meters. The tutorial guides viewers through defining variables, setting up equations, and solving them to find the rectangle's dimensions. The solution involves substituting values and simplifying equations to determine that the width is 11 meters and the length is 26 meters. The tutorial emphasizes the importance of sketching diagrams, defining variables, and writing equations to solve such problems.

What is the main topic of the word problem introduced in the video?

• Understanding the properties of triangles

• Solving quadratic equations

• Finding the perimeter and dimensions of a rectangle

• Calculating the area of a circle

What variables are defined to represent the dimensions of the rectangle?

• L for length and W for width

• X for length and Y for width

• A for area and P for perimeter

• H for height and B for base

What is the first step in solving the word problem?

• Determine the volume

• Define variables and write equations

• Calculate the area

• Find the diagonal

How is the perimeter of the rectangle expressed in terms of length and width?

• L + W

• L * W

• L - W

• 2L + 2W

What is the equation for length in terms of width?

• L = W / 2

• L = 2W

• L = W + 15

• L = W - 15

What is the total perimeter of the rectangle as given in the problem?

• 60 meters

• 74 meters

• 80 meters

• 90 meters

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

• Length is twice the width

• Length is 15 meters less than width

• Length is half the width

• Length is 15 meters more than width

What is the equation used to express the perimeter of the rectangle?

• P = 2L + 2W

• P = L - W

• P = L + W

• P = L * W

What is the next step after substituting the length equation into the perimeter equation?

• Find the diagonal

• Solve for width

• Calculate the area

• Determine the volume

What is the width of the rectangle after solving the linear equation?

• 15 meters

• 26 meters

• 11 meters

• 20 meters