Use the image to answer the question.
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?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively. Scale: 1 box = 5 feet
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 5 feet
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively. Scale: 1 box = 5 feet
A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 5 feet.
The correct answer is:
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively.
Scale: 1 box = 5 feet
To solve this question, we need to understand the original scale and the desired scale. The original scale is 1 box = 5 feet, and the rectangle in the original drawing is 8 units long and 6 units wide.
We want to reproduce the scale drawing with a new scale of 1 box = 10 feet. We need to determine the new dimensions of the rectangle based on this new scale.
To do this, let's set up a proportion using the original and new scales:
Original scale: 1 box = 5 feet
New scale: 1 box = 10 feet
Let's set up the proportion:
(Original length / Original scale) = (New length / New scale)
Plugging in the values:
(8 units / 5 feet) = (New length / 10 feet)
Simplifying the proportion:
(8/5) = (New length / 10)
To solve for the new length, cross-multiply:
8 * 10 = 5 * New length
80 = 5 * New length
Dividing both sides by 5 to isolate the New length:
80 / 5 = New length
New length = 16
So, the new length of the rectangle is 16 units.
Following the same process for the width of the rectangle:
(6 units / 5 feet) = (New width / 10 feet)
Simplifying the proportion:
(6/5) = (New width / 10)
To solve for the new width, cross-multiply:
6 * 10 = 5 * New width
60 = 5 * New width
Dividing both sides by 5 to isolate the New width:
60 / 5 = New width
New width = 12
So, the new width of the rectangle is 12 units.
Based on these calculations, the scale drawing that reproduces Tomas's front yard with a scale of 1 box = 10 feet is:
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively.
Scale: 1 box = 5 feet
THE RIGHT ANSWERS ARE
1) 1/6
2) 2
3) 12 top 4 side
4) 4 top 3 bottom
5) 5