A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 2 units wide, labeled with 6 and 2 respectively.
Scale: 1 box = 4 centimeters
Reproduce the scale drawing so that it has a scale of 1 box = 2 centimeters. Which shows the correct new scale drawing?
Since the original scale is 1 box = 4 centimeters, each unit on the graph represents 4 centimeters. Therefore, the rectangle that is labeled 6 units long actually has a length of 6 * 4 = <<6*4=24>>24 centimeters in the actual scale.
Now, if the new scale is 1 box = 2 centimeters, then each unit on the graph represents 2 centimeters. Therefore, we need to find a new scale drawing where the rectangle has a length of 24 centimeters when measured in the new scale.
Using this new scale, the rectangle will have a length of 24 cm / 2 cm = <<24/2=12>>12 units.
Therefore, the correct new scale drawing will have a rectangle that is labeled with a length of 12 units in the graph.
How do you get this answer?
To find the correct new scale drawing, we need to adjust the length of the rectangle to match the new scale.
Given that the original scale is 1 box = 4 centimeters, we know that each unit on the graph represents 4 centimeters.
The rectangle is labeled as 6 units long, so its actual length in centimeters can be found by multiplying 6 units by the length represented by each unit, which is 4 centimeters. This gives us 6 * 4 = 24 centimeters.
To create the new scale drawing with a scale of 1 box = 2 centimeters, we need to adjust the length of the rectangle to match the new scale.
Since each unit now represents 2 centimeters, we divide the actual length of the rectangle in centimeters (24 centimeters) by the new length represented by each unit (2 centimeters). This gives us 24 cm / 2 cm = 12 units.
Therefore, the correct new scale drawing will have a rectangle labeled with a length of 12 units in the graph.
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 6 units wide, labeled with 8 and 6 respectively.
Scale: 1 box = 5 feet
Reproduce the scale drawing of Tomas’s front yard so that it has a scale of 1 box = 10 feet. Which shows the new scale drawing?
To find the correct new scale drawing, we need to adjust the dimensions of the rectangle to match the new scale.
Given that the original scale is 1 box = 5 feet, we know that each unit on the graph represents 5 feet.
The rectangle is labeled as 8 units long and 6 units wide. To find the actual length and width in feet, we multiply the labeled units by the length represented by each unit, which is 5 feet.
The original rectangle has a length of 8 units:
8 units * 5 feet/unit = 40 feet
The original rectangle has a width of 6 units:
6 units * 5 feet/unit = 30 feet
To create the new scale drawing with a scale of 1 box = 10 feet, we need to adjust the length and width of the rectangle to match the new scale.
Since each unit now represents 10 feet, we divide the actual length and width of the rectangle in feet by the new length and width represented by each unit (10 feet).
New length: 40 feet / 10 feet/unit = 4 units
New width: 30 feet / 10 feet/unit = 3 units
Therefore, the correct new scale drawing will have a rectangle labeled with a length of 4 units and a width of 3 units in the graph.
Wrong.
I apologize for the mistake in my previous response. Let's find the correct new scale drawing.
Given that the original scale is 1 box = 5 feet, we know that each unit on the graph represents 5 feet.
The rectangle is labeled as 8 units long and 6 units wide. To find the actual length and width in feet, we multiply the labeled units by the length represented by each unit, which is 5 feet.
The original rectangle has a length of 8 units:
8 units * 5 feet/unit = 40 feet
The original rectangle has a width of 6 units:
6 units * 5 feet/unit = 30 feet
To create the new scale drawing with a scale of 1 box = 10 feet, we need to adjust the length and width of the rectangle to match the new scale.
Since each unit now represents 10 feet, we divide the actual length and width of the rectangle in feet by the new length and width represented by each unit (10 feet).
New length: 40 feet / 10 feet/unit = 4 units
New width: 30 feet / 10 feet/unit = 3 units
Therefore, the correct new scale drawing will have a rectangle labeled with a length of 4 units and a width of 3 units in the graph.
I apologize for the confusion caused earlier.
STILL INCORRECT. solve it correctly
Apologies for the confusion. Let's correctly solve the problem and find the new scale drawing.
Given that the original scale is 1 box = 5 feet, we know that each unit on the graph represents 5 feet.
The rectangle is labeled as 8 units long and 6 units wide. To find the actual length and width in feet, we multiply the labeled units by the length represented by each unit, which is 5 feet.
The original rectangle has a length of 8 units:
8 units * 5 feet/unit = 40 feet
The original rectangle has a width of 6 units:
6 units * 5 feet/unit = 30 feet
Now, we need to reproduce the scale drawing with a new scale of 1 box = 10 feet. This means each unit on the graph will represent 10 feet.
To find the new length and width of the rectangle in units, we divide the actual length and width of the rectangle in feet by the new length and width represented by each unit (10 feet).
New length: 40 feet / 10 feet/unit = 4 units
New width: 30 feet / 10 feet/unit = 3 units
Therefore, the correct new scale drawing will have a rectangle labeled with a length of 4 units and a width of 3 units in the graph.
To reproduce the scale drawing with a scale of 1 box = 2 centimeters, you need to resize the dimensions of the original drawing while maintaining the same proportions.
First, we need to convert the original measurements from units to centimeters. Since 1 box in the original drawing represents 4 centimeters, the original rectangle's dimensions can be converted as follows:
Length: 6 units * 4 centimeters/unit = 24 centimeters
Width: 2 units * 4 centimeters/unit = 8 centimeters
Now, we can use the new scale of 1 box = 2 centimeters to create the new scale drawing.
For the new scale drawing:
Length: 24 centimeters / (1 box = 2 centimeters) = 12 boxes
Width: 8 centimeters / (1 box = 2 centimeters) = 4 boxes
On a grid, draw a rectangle that is 12 boxes long and 4 boxes wide. This new drawing will accurately represent the original rectangle with a scale of 1 box = 2 centimeters.