Connor and Jason are best friends.
They decided to work together and make a huge poster complimenting their teacher tor spending so much time making their classes interesting.
They really liked being in his class.
They found six pieces of poster board, each twenty inches wide and forty-six inches long. What is the area of the biggest poster they could make by taping the pieces together?
(Note: They can cut the pieces.)
To find the area of the biggest poster they could make, add up the areas of all the pieces of poster board.
Each piece of poster board is 20 inches wide and 46 inches long, so its area is 20 * 46 = <<20*46=920>>920 square inches.
They have 6 pieces of poster board, so the total area of all the pieces is 6 * 920 = <<6*920=5520>>5520 square inches. Answer: \boxed{5520}.
To find the area of the biggest poster they could make, we need to consider the possible arrangements of the poster boards.
Since the poster boards are 20 inches wide and 46 inches long, there are a few different arrangements we can make. Let's break it down step-by-step:
Step 1: Determine the possible orientations of the poster boards.
Given that the width (20 inches) is smaller than the length (46 inches) of the boards, we have two possible orientations:
- Widths together: 20 inches by 46 inches.
- Lengths together: 46 inches by 20 inches.
Step 2: Calculate the area of each possible arrangement.
- Widths together:
In this arrangement, we can arrange the boards side by side. Since there are six pieces, the total width would be 20 inches x 6 = 120 inches. The length remains the same at 46 inches.
Therefore, the area in this arrangement is 120 inches x 46 inches = 5,520 square inches.
- Lengths together:
In this arrangement, we can arrange the boards one on top of the other. Since there are six pieces, the total length would be 20 inches x 6 = 120 inches. The width remains the same at 46 inches.
Therefore, the area in this arrangement is 120 inches x 46 inches = 5,520 square inches.
Step 3: Compare the areas.
Both arrangements result in the same area of 5,520 square inches. Therefore, the area of the biggest poster they could make, by taping the pieces together, is 5,520 square inches.
Note: It's important to keep in mind that this solution assumes there are no restrictions or limitations on how the boards can be arranged.