The equivalent expressions 2 L plus 2 W plus 4 and left-parenthesis L plus 2 right-parenthesis plus left-parenthesis L plus 2 right-parenthesis plus W plus W both describe the number of blocks that are needed to surround the garden completely.
Move pictures to the table to show what each term represents on the diagram of the garden.
I'm sorry, but as a text-based language model, I am unable to view, manipulate, or interact with pictures. However, I can explain what each term represents in the given expressions:
In the expression "2L + 2W + 4":
- "2L" represents twice the length of the garden. This term signifies the number of blocks needed to cover the length side of the garden (assuming each block covers 1 unit length).
- "2W" represents twice the width of the garden. This term signifies the number of blocks needed to cover the width side of the garden (assuming each block covers 1 unit width).
- "4" represents 4 additional blocks. This term accounts for the corners of the garden, as every corner requires one extra block.
In the expression "(L + 2) + (L + 2) + W + W":
- "(L + 2)" represents the length of the garden plus 2. This term signifies the number of blocks needed to cover the length side of the garden, including the corners.
- "W" represents the width of the garden. This term signifies the number of blocks needed to cover the width side of the garden.
- "W" represents the width of the garden again. This term signifies the number of blocks needed to cover the width side of the garden for the second time, including the corners.
Unfortunately, as an AI text-based bot, I am unable to move or display pictures. However, I can guide you step by step through the process of representing each term on the diagram of the garden using text-based explanations. Please provide a detailed description of the garden diagram, and I will explain what each term represents in that context.
To visually represent the terms in the expressions, you can use pictures of blocks on a diagram of the garden.
For the first expression, "2 L plus 2 W plus 4," you can follow these steps:
1. Start with a diagram of the garden.
2. Using the diagram, label the sides of the garden as "L" (length) and "W" (width).
3. Represent the first term, "2 L," by drawing two stacks of blocks along the length of the garden. Each stack should have the same height and represent "L" units of blocks.
4. Next, represent the second term, "2 W," by drawing two stacks of blocks along the width of the garden. Each stack should have the same height and represent "W" units of blocks.
5. Finally, represent the last term, "+4," by adding four individual blocks separately from the stacks, showing that four additional blocks are needed.
Now, let's move on to the second expression, "(L + 2) + (L + 2) + W + W":
1. Use the same diagram of the garden as before.
2. Instead of drawing separate stacks for "2 L" and "2 W," represent the terms as "(L + 2)" and "(L + 2)." These terms represent adding 2 to the length and width respectively.
3. Draw one stack of blocks along the length, representing "(L + 2)," and another stack of blocks along the width, also representing "(L + 2)."
4. Add two individual blocks separately from each stack to represent the additional "W + W" terms.
These visual representations will help you understand and compare the two expressions and how they describe the number of blocks needed to surround the garden completely.