Bookshelf Dimensions and Equations

The video tutorial explains how to determine the width and height of a bookshelf given that the height is 4 inches less than twice the width, and the carpenter has 12 feet of lumber. The tutorial walks through setting up an equation using the given conditions, converting measurements from feet to inches, and solving the equation to find the dimensions. The solution is verified using a calculator to ensure accuracy.

What is the relationship between the height and width of the bookshelf?

• The height is twice the width.

• The height is 4 inches less than twice the width.

• The height is 4 inches more than twice the width.

• The height is equal to the width.

How many inches are there in 12 feet?

• 120 inches

• 132 inches

• 156 inches

• 144 inches

If the width of the bookshelf is 'x', what is the expression for the height?

• x - 4

• x + 4

• 2x - 4

• 2x + 4

What equation represents the total length of lumber used for the bookshelf?

• 4x + 2(2x - 4) = 144

• 4x + 2x = 144

• 2x + 4x = 144

• 2x - 4 + 4x = 144

What is the first step in solving the equation for the width?

• Add 4 to both sides

• Subtract 4 from both sides

• Distribute and combine like terms

• Multiply both sides by 2

What is the width of the bookshelf in inches?

• 17 inches

• 20 inches

• 19 inches

• 18 inches

What is the height of the bookshelf in inches?

• 33 inches

• 32 inches

• 34 inches

• 35 inches

How do you verify the solution for the bookshelf dimensions?

• By checking if the sum of the dimensions equals 144 inches

• By checking if the width is greater than the height

• By ensuring the height is exactly twice the width

• By confirming the width is less than 20 inches

What is the total length of the four widths of the bookshelf?

• 84 inches

• 80 inches

• 88 inches

• 76 inches

What is the total length of the two heights of the bookshelf?

• 72 inches

• 64 inches

• 68 inches

• 76 inches