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Question

A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 5 meters

Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?

(1 point)
Responses



A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively.
Scale: 1 box = 20 meters

Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively. Scale: 1 box = 20 meters



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 = 20 meters

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 = 20 meters



A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively.
Scale: 1 box = 20 meters

Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters



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 = 20 meters

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 = 20 meters
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Answer 1

To determine the correct scale drawing of the playground based on the new scale, we start with the original dimensions of the rectangle, which are 8 units long and 4 units wide. The original scale is 1 box = 5 meters.

1. Calculate the actual dimensions in meters:

   • Length: 8 units × 5 meters/unit = 40 meters
   • Width: 4 units × 5 meters/unit = 20 meters

2. Convert the dimensions to the new scale (1 box = 20 meters):

   • For the new scale, we need to determine how many units each dimension will take:
     • Length: 40 meters ÷ 20 meters/unit = 2 units
     • Width: 20 meters ÷ 20 meters/unit = 1 unit

So, at the new scale of 1 box = 20 meters, the rectangle should measure 2 units long and 1 unit wide.

Now, we examine the given options:

• Option 1: 16 units long and 8 units wide (Scale: 1 box = 20 meters)
• Option 2: 3 units long and 2 units wide (Scale: 1 box = 20 meters)
• Option 3: 2 units long and 1 unit wide (Scale: 1 box = 20 meters)
• Option 4: 6 units long and 3 units wide (Scale: 1 box = 20 meters)

The correct drawing that matches the new scale dimensions of 2 units long and 1 unit wide is Option 3.